Properties of the Number 32761

Thirty-Two Thousand Seven Hundred Sixty-One

Basics

Value: 32760 → 32761 → 32762

Parity: odd

Prime: No

Previous Prime: 32749

Next Prime: 32771

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 181 ²

Divisors: 1, 181, 32761

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111111111001

Octal: 77771

Duodecimal: 16B61

Hexadecimal: 7ff9

Square: 1073283121

Square Root: 181

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

Squares of primes. A1248

a(n) = (6·n + 1)². A16922

Squares in which parity of digits alternates. A30152

Largest square <= n³. A65733

Numbers k such that k + 1 has one more divisor than k. A55927

a(n) = (11·n + 5)². A17450

Squares of primes lacking the digit zero in their decimal expansion. A52043

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,1 or 2,-2. A264090

a(n) = (10·n + 1)². A17282

a(n) = n*(n+1)*(n+2)*(n+3)+1 = (n² + 3·n + 1)². A62938