Properties of the Number 36527

Thirty-Six Thousand Five Hundred Twenty-Seven

Basics

Value: 36526 → 36527 → 36528

Parity: odd

Prime: Yes

Previous Prime: 36523

Next Prime: 36529

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 36527

Divisors: 1, 36527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111010101111

Octal: 107257

Duodecimal: 1917B

Hexadecimal: 8eaf

Square: 1334221729

Square Root: 191.1203809121361

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 in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6·n. A52350

Primes p such that the polynomial x⁵-x⁴-x³-x²-x-1 mod p has 5 distinct zeros. A106281

Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x⁵ - x⁴ - x³ - x² - x - 1 modulus p is factorizable into five binomials. A135847

Primes p2 such that p1² + p2³ is an average of twin primes and p1 < p2 are consecutive primes. A138716

G.f.: sqrt( ∑_n>=0 xⁿ / (1-x)^4·n+1 * [∑_k=0..2·n C(2·n,k)² * x^k]² ). A246572

Primes p such that prime(p)² - 2 = prime(q) for some prime q. A261354

Prime numbers p for which quintonacci quintic polynomial x⁵-x⁴-x³-x²-x-1 modulus p is completely factorizable. A135846

Numbers n such that 13ⁿ is the highest power of 13 dividing A240751(n). A286007

Primes p such that p+2, (p²-1)/2+p and (p²+3)/2+3·p are also prime. A352948

Primes p such that p+2, 3·p+2 and 3·p+8 are also primes. A278138