Properties of the Number 83537

Eighty-Three Thousand Five Hundred Thirty-Seven

Basics

Value: 83536 → 83537 → 83538

Parity: odd

Prime: Yes

Previous Prime: 83497

Next Prime: 83557

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 83537

Divisors: 1, 83537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011001010001

Octal: 243121

Duodecimal: 40415

Hexadecimal: 14651

Square: 6978430369

Square Root: 289.0276803352925

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

Quartan primes: primes of the form x⁴ + y⁴, x > 0, y > 0. A2645

Sum of 4th powers of primes dividing n. A5065

Primes of the form n² + 16. A243451

a(n) = ∑_k=1..n gcd(k, n)⁴. A343498

a(n) = a(n-1)⁴ + a(n-2)⁴ for n >= 2 with a(0) = 0, a(1) = 1. A112969

a(n) = n⁴ * ∑_{p∣n, p prime} 1/p⁴. A351244

Sums of two distinct prime 4th powers. A130873

Primes of the form p⁴ + 16 where p is also a prime. A94479

Sum of 4th powers of primes = 2 mod 3 dividing n. A5077

a(n) = next prime after n⁴. A53786