Properties of the Number 961

Nine Hundred Sixty-One

Basics

Value: 960 → 961 → 962

Parity: odd

Prime: No

Previous Prime: 953

Next Prime: 967

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 31 ²

Divisors: 1, 31, 961

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000001

Octal: 1701

Duodecimal: 681

Hexadecimal: 3c1

Square: 923521

Square Root: 31

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

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Squares of primes. A1248

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Number of partitions of n into parts 5k+1 or 5k+4. A3114

Squares and twice squares. A28982

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302