Properties of the Number 97

Ninety-Seven

Basics

Value: 96 → 97 → 98

Parity: odd

Prime: Yes

Previous Prime: 89

Next Prime: 101

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 97

Divisors: 1, 97

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001

Octal: 141

Duodecimal: 81

Hexadecimal: 61

Square: 9409

Square Root: 9.848857801796104

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 prime numbers. A40

Squarefree numbers: numbers that are not divisible by a square greater than 1. A5117

The odd numbers: a(n) = 2·n + 1. A5408

Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1). A961

Lpf(n): least prime dividing n (when n > 1); a(1) = 1. Or, smallest prime factor of n, or smallest prime divisor of n. A20639

Prime numbers at the beginning of the 20th century (today 1 is no longer regarded as a prime). A8578

Pythagorean primes: primes of the form 4·k + 1. A2144

a(n) = ∑_k=0..n p(k) where p(k) = number of partitions of k (A000041). A70

Prime powers: numbers of the form p^k where p is a prime and k >= 1. A246655

Odd primes. A65091

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