Properties of the Number 97155

Ninety-Seven Thousand One Hundred Fifty-Five

Basics

Value: 97154 → 97155 → 97156

Parity: odd

Prime: No

Previous Prime: 97151

Next Prime: 97157

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 17 × 127

Divisors: 1, 3, 5, 9, 15, 17, 45, 51, 85, 127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111101110000011

Octal: 275603

Duodecimal: 48283

Hexadecimal: 17b83

Square: 9439094025

Square Root: 311.6969682239466

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 of Gaussian binomial coefficients (or q-binomial coefficients) [n,k] for q = 2. A22166

Gaussian binomial coefficient [n, 3] for q = 2. A6096

Gaussian binomial coefficient [n, 5] for q = 2. A6110

Number of sublattices of index n in generic 4-dimensional lattice. A38991

Number of sublattices of index n in generic 6-dimensional lattice. A38993

a(n) = Z(S_m; σ[1](n), σ[2](n),..., σ[m](n)) where Z(S_m; x₁,x₂,...,x_m) is the cycle index of the symmetric group S_m and σ[k](n) is the sum of k-th powers of divisors of n; m=3. A68020

Number T(n,k) of set partitions of [n] such that at least one of the block sizes is k or k=0; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327884

Numbers k such that σ(k) = ψ(k) + τ(k)³. A390297

Z(S_m; σ[1](n), σ[2](n),..., σ[m](n)) where Z(S_m; x₁,x₂,...,x_m) is the cycle index of the symmetric group S_m and σ[k](n) is the sum of k-th powers of divisors of n; m=5. A68022

Numbers k such that the digits of k³, reversed, include the digits of k as substring. A115762