Properties of the Number 87525

Eighty-Seven Thousand Five Hundred Twenty-Five

Basics

Value: 87524 → 87525 → 87526

Parity: odd

Prime: No

Previous Prime: 87523

Next Prime: 87539

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 389

Divisors: 1, 3, 5, 9, 15, 25, 45, 75, 225, 389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010111100101

Octal: 252745

Duodecimal: 42799

Hexadecimal: 155e5

Square: 7660625625

Square Root: 295.8462438497403

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

Triangle read by rows: T(n,k) is the number of cycle-up-down permutations of {1,2,...,n} having k fixed points (0 <= k <= n). A permutation is said to be cycle-up-down if it is a product of up-down cycles. A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1) < b(2) > b(3) < ... . A186363

a(n) = number of subsets S of {1,2,...,n} having more than 1 element such that (difference between least two elements of S) = difference between greatest two elements of S. A357282

Smallest number with exactly n representations as sum of a squarefree number (A005117) and a square (A000290). A85264

Primes p with the property that p-q does not divide p+q for all primes q < p. A87525