Properties of the Number 97917

Ninety-Seven Thousand Nine Hundred Seventeen

Basics

Value: 97916 → 97917 → 97918

Parity: odd

Prime: No

Previous Prime: 97883

Next Prime: 97919

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 127 × 257

Divisors: 1, 3, 127, 257, 381, 771, 32639, 97917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001111101

Octal: 277175

Duodecimal: 487B9

Hexadecimal: 17e7d

Square: 9587738889

Square Root: 312.9169218818311

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 integer partitions of n whose minima of maximal anti-runs are not all different. A375404

Number of maximal subsets of {1..n} containing n such that every subset has a different sum. A325867

Number of partitions of {1,...,n} into blocks such that no block size is repeated more than 3 times. A115275

Number of n X n 0..1 arrays with every element unequal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A304849

T(n,k) = Number of n X k 0..1 arrays with every element unequal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A304855

Denominator of 2·zeta_K(-1) where K is the totally real field Q(sqrt(n)), as n runs through the squarefree numbers. A97917