Properties of the Number 66137

Sixty-Six Thousand One Hundred Thirty-Seven

Basics

Value: 66136 → 66137 → 66138

Parity: odd

Prime: Yes

Previous Prime: 66109

Next Prime: 66161

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 66137

Divisors: 1, 66137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001001011001

Octal: 201131

Duodecimal: 32335

Hexadecimal: 10259

Square: 4374102769

Square Root: 257.1711492372346

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 of Erdos-Selfridge class 5+ with largest prime factor of p+1 not of class 4+. A129473

Unimodal analog of Fibonacci numbers: a(n+1) = ∑_{k=0..floor(n/2)} A071922(n-k,k). A72176

Prime numbers with gaps larger than 20 towards both neighboring primes. A163112

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=4, I={0,2}. A79974

Prime numbers containing the digit string 137. A190307

a(n) is the smallest odd prime p that has exactly n consecutive distinct prime "prime gaps" between p and a larger prime. A300556

Covering numbers C(n,9,8). A66137