Properties of the Number 97367

Ninety-Seven Thousand Three Hundred Sixty-Seven

Basics

Value: 97366 → 97367 → 97368

Parity: odd

Prime: Yes

Previous Prime: 97327

Next Prime: 97369

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 97367

Divisors: 1, 97367

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110001010111

Octal: 276127

Duodecimal: 4841B

Hexadecimal: 17c57

Square: 9480332689

Square Root: 312.03685679739823

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 p, p+2, p+6, p+12 and p+14 are consecutive primes. A78946

Primes p such that the polynomial x² + x + p generates only primes for x = 0, ..., 4. A187057

Primes p such that the polynomial x² + x + p generates only primes for x = 1..5. A187058

Prime numbers p such that x² + x + p produces primes for x = 0..5 but not x = 6. A210364

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 427", based on the 5-celled von Neumann neighborhood. A282105

a(n) = 1 + 2·least i such that A103507(i)=n+1, 0 if no such i exists. A103508

Primes p such that (p, p+2, p+6, p+12, p+14, p+20) is a prime sextuple. A172456

For a lesser p of twin primes, let B_p+2 and B_p be sequences defined as A159559, but with initial terms p+2 and p respectively. The sequence lists p for which all differences B_p+2(n)-B_p(n)<=6. A276848

Primes p such that between p and the previous prime there exist 2 distinct integers which are a square and a cube, respectively. A380522

Smallest prime p such that M(n)²+p·M(n)+1 is prime with M(n)= Mersenne primes =A000668(n). A139431