Properties of the Number 89137

Eighty-Nine Thousand One Hundred Thirty-Seven

Basics

Value: 89136 → 89137 → 89138

Parity: odd

Prime: Yes

Previous Prime: 89123

Next Prime: 89153

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 89137

Divisors: 1, 89137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110000110001

Octal: 256061

Duodecimal: 43701

Hexadecimal: 15c31

Square: 7945404769

Square Root: 298.5582020310278

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

Least prime of three consecutive primes (p1,p2,p3) such that p2-p1 and p3-p2 are both perfect squares. A161002

Primes of form x² - φ(x) in increasing order. A258435

a(1) = 2; for n > 1, a(n) is the smallest prime > a(n-1) such that each successive digit in the concatenation of terms (that does not follow 9) is greater than the previous digit. A68827

Prime numbers containing the digit string 137. A190307

Number of n X 6 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 6 array. A219500

Primes p such that 2·p² - 7, 2·p² - 1, and 2·p² + 3 are prime. A356510

Primes in the progression (n!- m)/m where n advances by 1 and m resets to 1 upon each prime occurrence. A89137