Properties of the Number 97109

Ninety-Seven Thousand One Hundred Nine

Basics

Value: 97108 → 97109 → 97110

Parity: odd

Prime: No

Previous Prime: 97103

Next Prime: 97117

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 19 ² × 269

Divisors: 1, 19, 269, 361, 5111, 97109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101101010101

Octal: 275525

Duodecimal: 48245

Hexadecimal: 17b55

Square: 9430157881

Square Root: 311.62316987027776

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 binary necklaces of length n with no subsequence 00, excluding the necklace "0". A358

Number of ways to partition n elements into pie slices each with an odd number of elements. A32189

Number of cyclic compositions of 2·n-1 into odd parts. A365858

Number of self-dual cyclic n-color compositions. A365859

G.f.: s(2)²*s(3)³/(s(1)*s(6)²), where s(k) = η(q^k) and η(q) is Dedekind's function, cf. A010815. A97109