Properties of the Number 83137

Eighty-Three Thousand One Hundred Thirty-Seven

Basics

Value: 83136 → 83137 → 83138

Parity: odd

Prime: Yes

Previous Prime: 83117

Next Prime: 83177

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 83137

Divisors: 1, 83137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010011000001

Octal: 242301

Duodecimal: 40141

Hexadecimal: 144c1

Square: 6911760769

Square Root: 288.334874755032

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 q-p = 40, where q is the next prime after p. A126721

Fifth term of weak prime sextet: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m). A54832

Prime numbers containing the digit string 137. A190307

Number of (n+4) X 8 0..2 matrices with each 5 X 5 subblock idempotent. A224621

a(n) is the smallest prime q such that ∑_{primes p <= q} log(p)/p >= n. A347311

a(n) is the least prime > a(n-2) such that a(n-1)+a(n) is a square. A359582

Numbers k such that (39^k + 2^k)/41 is prime. A379428

T(n,k)=Number of (n+4)X(k+4) 0..2 matrices with each 5X5 subblock idempotent. A224625

Smallest palindromic number relatively prime to all the previous terms. A83137