65256 has 16 divisors (see below), whose sum is σ = 163200. Its totient is φ = 21744.

The previous prime is 65239. The next prime is 65257.

65256 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2719 = 65256 / (6 + 5 + 2 + 5 + 6).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1336 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (10200).

2⁶⁵²⁵⁶ is an apocalyptic number.

It is an amenable number.

65256 is an abundant number, since it is smaller than the sum of its proper divisors (97944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81600).

65256 is a wasteful number, since it uses less digits than its factorization.

65256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2724 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 65256 is about 255.4525396233. The cubic root of 65256 is about 40.2599733525.

The spelling of 65256 in words is "sixty-five thousand, two hundred fifty-six".