Properties of the Number 997

Nine Hundred Ninety-Seven

Basics

Value: 996 → 997 → 998

Parity: odd

Prime: Yes

Previous Prime: 991

Next Prime: 1009

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 997

Divisors: 1, 997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100101

Octal: 1745

Duodecimal: 6B1

Hexadecimal: 3e5

Square: 994009

Square Root: 31.575306807693888

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

Primes p such that 2p-1 is also prime. A5382

Number of partitions of n into parts 5k+2 or 5k+3. A3106

Primes congruent to 1 (mod 12). A68228

Primes p such that (p+1)/2 is prime. A5383

Primes whose binary representation is also the decimal representation of a prime. A65720

Primes p such that the decimal expansion of its base-9 conversion is also prime. A65727

Primes of form 10n+7. A30432

The "comma sequence": the lexicographically earliest sequence of positive numbers with the property that the sequence formed by the pairs of digits adjacent to the commas between the terms is the same as the sequence of successive differences between the terms. A121805

Primes with 7 as smallest primitive root. A1126

Primes of the form 2·k² + 29. A7641