Properties of the Number 97664

Ninety-Seven Thousand Six Hundred Sixty-Four

Basics

Value: 97663 → 97664 → 97665

Parity: even

Prime: No

Previous Prime: 97651

Next Prime: 97673

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁷ × 7 × 109

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110110000000

Octal: 276600

Duodecimal: 48628

Hexadecimal: 17d80

Square: 9538256896

Square Root: 312.51239975399375

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) = 2^n-k*(2·n)!/(2·k)! * [x^2·n] U[x]^2·k, where U(x) = x·2F1([3/4, 3/4], [3/2], 4·x²)/2F1([1/4, 1/4], [1/2], 4·x²). A362715

Decimal expansion of the constant 3·exp(ψ(2/3) + EulerGamma), where EulerGamma is the Euler-Mascheroni constant (A001620) and ψ(x) is the digamma function. A97664

E.g.f. A(x) satisfies: A(x) = 1 + Integral ∑_n>=0 (xⁿ/n!) * A(x)^2ⁿ dx. A341381