Properties of the Number 32564

Thirty-Two Thousand Five Hundred Sixty-Four

Basics

Value: 32563 → 32564 → 32565

Parity: even

Prime: No

Previous Prime: 32563

Next Prime: 32569

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 1163

Divisors: 1, 2, 4, 7, 14, 28, 1163, 2326, 4652, 8141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111100110100

Octal: 77464

Duodecimal: 16A18

Hexadecimal: 7f34

Square: 1060414096

Square Root: 180.45498053531247

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Self-power numbers (or SPN's): numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th power of some number as a substring of n and also n contains no 0's or 1's. A134698

a(n) = ∑_k=1..n (-1)^k-1 * binomial(floor(n/k)+4,5). A366723

Sum of the first n twin prime pairs. A86169

Self-power numbers (or SPN's) in A134698 which cannot be obtained by taking an earlier term M (say) of A134698 and prefixing or suffixing a digit of M. A134947

Consecutive states of the linear congruential pseudo-random number generator (9806·s+1) mod (2¹⁷-1) when started at s=1. A384236

Primitive self-power numbers (or SPN's): terms in A134698 which cannot be obtained by taking an earlier term M (say) of A134698 and prefixing, inserting or suffixing a digit of M. A134949

Number of 4-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187509

Numbers n such that 35·2ⁿ-1 is prime. A50543

Number of cyclotomic cosets of 9 mod 10ⁿ. A220020

G.f.: ∑_n>=0 (x^2·n-1 + 1)ⁿ * xⁿ / (1 + x^2·n+1)ⁿ⁺¹, an even function. A326602