Properties of the Number 97289

Ninety-Seven Thousand Two Hundred Eighty-Nine

Basics

Value: 97288 → 97289 → 97290

Parity: odd

Prime: No

Previous Prime: 97283

Next Prime: 97301

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 271 × 359

Divisors: 1, 271, 359, 97289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110000001001

Octal: 276011

Duodecimal: 48375

Hexadecimal: 17c09

Square: 9465149521

Square Root: 311.9118465207758

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

Number of permutations of 0..floor((n·7-2)/2) on odd squares of an n X 7 array such that each row, column, diagonal and (downwards) antidiagonal of odd squares is increasing. A215867

Number of permutations of 0..floor((7·n-2)/2) on odd squares of an 7Xn array such that each row, column, diagonal and (downwards) antidiagonal of odd squares is increasing. A215875

Companion Pell numbers: a(n) = 2·a(n-1) + a(n-2), a(0) = a(1) = 2. A2203

T(n,k) = Number of permutations of 0..floor((n·k-2)/2) on odd squares of an n X k array such that each row, column, diagonal and (downwards) antidiagonal of odd squares is increasing. A215870

Contains exactly once every pair (i,j) satisfying 0 < i <= j. A97289