Properties of the Number 97713

Ninety-Seven Thousand Seven Hundred Thirteen

Basics

Value: 97712 → 97713 → 97714

Parity: odd

Prime: No

Previous Prime: 97711

Next Prime: 97729

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 11 × 47

Divisors: 1, 3, 7, 9, 11, 21, 27, 33, 47, 63

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10111110110110001

Octal: 276661

Duodecimal: 48669

Hexadecimal: 17db1

Square: 9547830369

Square Root: 312.5907868124075

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 2 - x². A368151

Heptagonal numbers with only odd digits. A117993

Rectangular array A read by upward antidiagonals: A(n,m) is the number of total difunctional (regular) binary relations between an n-element set and an m-element set. A265706

Number of noninvertible 2 X 2 matrices over Z/nZ (determinant is a divisor of 0). A20479

Rectangular array A read by upward antidiagonals: A(n,m) is the number of surjective difunctional (regular) binary relations between an n-element set and an m-element set. A265707

Heptagonal numbers A000566 which are the sum of two other heptagonal numbers > 0. A133251

Column 1 of triangle A097712. A97713