28597 (number)
28,597 (twentyeight thousand five hundred ninetyseven) is an odd fivedigits prime number following 28596 and preceding 28598. In scientific notation, it is written as 2.8597 × 10^{4}. The sum of its digits is 31. It has a total of 1 prime factor and 2 positive divisors. There are 28,596 positive integers (up to 28597) that are relatively prime to 28597.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 31
 Digital Root 4
Name
Short name  28 thousand 597 

Full name  twentyeight thousand five hundred ninetyseven 
Notation
Scientific notation  2.8597 × 10^{4} 

Engineering notation  28.597 × 10^{3} 
Prime Factorization of 28597
Prime Factorization 28597
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  28597  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.261057096201  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 28,597 is 28597. Since it has a total of 1 prime factor, 28,597 is a prime number.
Divisors of 28597
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  28598  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  14299  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  169.10647533433  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999300650395  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 28,597 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 28,597) is 28,598, the average is 14,299.
Other Arithmetic Functions (n = 28597)
φ(n)  Euler Totient  28596  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  28596  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3113  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 28,596 positive integers (less than 28,597) that are coprime with 28,597. And there are approximately 3,113 prime numbers less than or equal to 28,597.
Divisibility of 28597
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  2  1  2  5  4 
28,597 is not divisible by any number less than or equal to 9.
Classification of 28597
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (28597)
Base  System  Value 

2  Binary  110111110110101 
3  Ternary  1110020011 
4  Quaternary  12332311 
5  Quinary  1403342 
6  Senary  340221 
8  Octal  67665 
10  Decimal  28597 
12  Duodecimal  14671 
16  Hexadecimal  6fb5 
20  Vigesimal  3b9h 
36  Base36  m2d 
Basic calculations (n = 28597)
Multiplication
n×yn×2  57194 

n×3  85791 
n×4  114388 
n×5  142985 
Division
n÷yn÷2  14298.500 

n÷3  9532.333 
n÷4  7149.250 
n÷5  5719.400 
Exponentiation
n^{y}n^{2}  817788409 

n^{3}  23386295132173 
n^{4}  668777881894751281 
n^{5}  19125041088544202382757 
Nth Root
^{y}√n^{2}√n  169.10647533433 

^{3}√n  30.580188523207 
^{4}√n  13.004094560342 
^{5}√n  7.7850982002534 
28597 as geometric shapes
Circle
Radius = nDiameter  57194 

Circumference  179680.25022941 
Area  2569158057.9053 
Sphere
Radius = nVolume  97960283975890 

Surface area  10276632231.621 
Circumference  179680.25022941 
Square
Length = nPerimeter  114388 

Area  817788409 
Diagonal  40442.265243183 
Cube
Length = nSurface area  4906730454 

Volume  23386295132173 
Space diagonal  49531.456944047 
Equilateral Triangle
Length = nPerimeter  85791 

Area  354112768.55723 
Altitude  24765.728472024 
Triangular Pyramid
Length = nSurface area  1416451074.2289 

Volume  2756101312464.9 
Height  23349.35272479 
Cryptographic Hash Functions
md5  06ac68cc0db1c6c3992eb55812168e55 

sha1  9cbb4ac525a5581c1c7e0cdcf027b394f4b4a55d 
sha256  3e9d57288afc0e7df2cbad347f7ee83fc56ae03957fd0f085368f1d5409bf4a8 
sha512  34eec7fdfb2e4b571d2988c63f90ddb52f6fc2d7e9fcd24ebf3ea0e1011a92cd97c771253b9e43a8e2ff4ce74d795357a2ca1120f4323d2bbbd90fcb38b0c49d 
ripemd160  12077392d35e7a29ff33d6adaf4df422d87b9bd6 