Properties of the Number 971

Nine Hundred Seventy-One

Basics

Value: 970 → 971 → 972

Parity: odd

Prime: Yes

Previous Prime: 967

Next Prime: 977

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 971

Divisors: 1, 971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111001011

Octal: 1713

Duodecimal: 68B

Hexadecimal: 3cb

Square: 942841

Square Root: 31.160872901765767

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

Emirps (primes whose reversal is a different prime). A6567

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 2 (most significant digit on right). A61955

Primes of the form k² + k + 41. A5846

Primes of the form 10·n+1. A30430

Primes whose reversal in base 10 is also prime (called "palindromic primes" by David Wells, although that name usually refers to A002385). Also called reversible primes. A7500

Number of complete partitions of n. A126796

Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B₂, B₄, ..., B_p-3 (A000367) is divisible by p. A928

Larger member p+4 of cousin primes (p, p+4). A46132

Primes whose base-2 representation is also the base-3 representation of a prime. A235266

Full reptend primes: primes with primitive root 10. A1913