Properties of the Number 97792

Ninety-Seven Thousand Seven Hundred Ninety-Two

Basics

Value: 97791 → 97792 → 97793

Parity: even

Prime: No

Previous Prime: 97789

Next Prime: 97813

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁹ × 191

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 191, 256

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000000000

Octal: 277000

Duodecimal: 48714

Hexadecimal: 17e00

Square: 9563275264

Square Root: 312.71712457107304

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

a(n) = A341886(n)/2; numbers k such that A307437(k) is even. A341887

Numbers k such that the smallest m such that k | ψ(m) is even, ψ = A002322. A341886

Number of nX2 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200984

Number of (n+4) X 10 0..1 matrices with each 5 X 5 subblock idempotent. A224688

Nonunitary near-perfect numbers: k such that nusigma(k) = k + d where d is a nonunitary divisor of k. A362969

Numbers of the form 4k⁴ or (kp)^p for prime p > 2 and k = 1, 2, 3, .... A97792

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having three or four distinct values for every i<=n and j<=n. A211502

Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum. A257355