Properties of the Number 65519

Sixty-Five Thousand Five Hundred Nineteen

Basics

Value: 65518 → 65519 → 65520

Parity: odd

Prime: Yes

Previous Prime: 65497

Next Prime: 65521

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 65519

Divisors: 1, 65519

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111111101111

Octal: 177757

Duodecimal: 31ABB

Hexadecimal: ffef

Square: 4292739361

Square Root: 255.96679472150288

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

Eulerian numbers (Euler's triangle: column k=2 of A008292, column k=1 of A173018). A295

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 3, read by rows. A157149

a(n) = 2ⁿ⁺¹ - n - 2, or partial sums of main diagonal of array A125127 of k-step Lucas numbers. A125128

Primes of the form k⁴-k-1. A126422

a(n) = n⁴ - n - 1. A126423

Expansion of e.g.f. e^2x-(1+x)*e^x+x. A130103

Primes p such that τ(p-1)+τ(p+1) is larger than for any previous term. (Smallest prime sandwiched between more composite numbers.) A90481

Primes with a single 0 bit in their binary expansion. A95078

Primes of the form 2^t-2^k-1, k>=1. A181741

Numbers which contain only the digit 3 in their base-4 representation, with at most one exception. If the exception is the most-significant digit, it must be the digit 1 or 2, otherwise the exception must be the digit 2. A188529