Properties of the Number 65025

Sixty-Five Thousand Twenty-Five

Basics

Value: 65024 → 65025 → 65026

Parity: odd

Prime: No

Previous Prime: 65011

Next Prime: 65027

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 17 ²

Divisors: 1, 3, 5, 9, 15, 17, 25, 45, 51, 75

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111000000001

Octal: 177001

Duodecimal: 31769

Hexadecimal: fe01

Square: 4228250625

Square Root: 255

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

a(n) = (2ⁿ - 1)². A60867

Numbers k such that σ(φ(k)) = φ(σ(k)). A33632

Numbers n that are the hypotenuse of exactly 12 distinct integer-sided right triangles, i.e., n² can be written as a sum of two squares in 12 ways. A97226

Number of holes in a sheet of paper when you fold it n times and cut off the four corners. A274230

Numbers that are the squares of the product of three distinct primes. A162143

Squares with initial digit '6'. A45789

Triangle read by rows: T(n,k) = number of distinct lines through the origin in the n-dimensional cubic lattice of side length k with one corner at the origin. A90030

Cyclops squares: squares (A000290) that are also cyclops numbers (A134808). A160711

Table of coefficients in row functions F'(n,x)/F(n,x) such that [x^k] exp( kⁿ * x ) / F(n,x) = 0 for k>=1 and n>=1. A304321

Generalized Euler φ function (for p=2). A3473