Properties of the Number 37664

Thirty-Seven Thousand Six Hundred Sixty-Four

Basics

Value: 37663 → 37664 → 37665

Parity: even

Prime: No

Previous Prime: 37663

Next Prime: 37691

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 11 × 107

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001100100000

Octal: 111440

Duodecimal: 19968

Hexadecimal: 9320

Square: 1418576896

Square Root: 194.07215153133126

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

Lesser of two consecutive numbers each divisible by a fifth power. A68783

Numbers k such that k divides A243071(k). A364497

Numbers k that can be expressed as k = w + x = y·z with w·x = y³ + z³ where w, x, y, and z are all positive integers. A57372

Number of discordant permutations. A561

Numbers n such that n and n+1 both have 24 divisors. A274362

Smaller of two consecutive numbers with the same prime signature not occurring earlier. A85929

Smaller of two consecutive numbers with the same prime signature not occurring earlier. A91405

a(n) is the least·such that the cyclotomic polynomial values φ(d,x) are prime for all d dividing n. A72942

Number of (n+2) X (5+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. A260606

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0. A37664