Properties of the Number 97666

Ninety-Seven Thousand Six Hundred Sixty-Six

Basics

Value: 97665 → 97666 → 97667

Parity: even

Prime: No

Previous Prime: 97651

Next Prime: 97673

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 × 47 × 1039

Divisors: 1, 2, 47, 94, 1039, 2078, 48833, 97666

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111110110000010

Octal: 276602

Duodecimal: 4862A

Hexadecimal: 17d82

Square: 9538647556

Square Root: 312.51559961064345

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

O.g.f.: ∑_n>=0 nⁿ * (1+n·x)ⁿ * xⁿ/n! * exp(-n·x*(1+n·x)). A218670

The number of permutations p of {1,...,n} such that |p(i)-p(i+1)| is in {2,3,4} for all i from 1 to n-1. A174704

Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,n} with eight 0's into distinct multisets. A346818

Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,6} with n 0's into distinct multisets. A346826

Expansion of (1 + x + 21·x² + x³ + x⁴)/(1 - x)⁵. A257602

Number A(n,k) of partitions of the (n+k)-multiset {0,...,0,1,2,...,k} with n 0's into distinct multisets; square array A(n,k), n>=0, k>=0, read by antidiagonals. A346520

Decimal expansion of the constant 4·exp(ψ(3/4) + EulerGamma), where EulerGamma is the Euler-Mascheroni constant (A001620) and ψ(x) is the digamma function. A97666