Properties of the Number 65135

Sixty-Five Thousand One Hundred Thirty-Five

Basics

Value: 65134 → 65135 → 65136

Parity: odd

Prime: No

Previous Prime: 65129

Next Prime: 65141

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 1861

Divisors: 1, 5, 7, 35, 1861, 9305, 13027, 65135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001101111

Octal: 177157

Duodecimal: 3183B

Hexadecimal: fe6f

Square: 4242568225

Square Root: 255.2155951347801

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

Reverse and add (in base 4). A35524

a(n) is the smallest positive integer which can be represented as the sum of n distinct nonzero square pyramidal numbers in exactly n ways, or -1 if no such integer exists. A360218

G.f. satisfies: A(x - x·A(x) - x·A(x)²) = x. A195440

Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241050

Numbers m such that prime(m) = π(m)*k + 1 for some k. A65135

Numbers m such that the denominator of ∑_k=1..m 1/gcd(m,k) equals m. A71000