82256 has 20 divisors (see below), whose sum is σ = 164052. Its totient is φ = 39936.

The previous prime is 82241. The next prime is 82261. The reversal of 82256 is 65228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 33856 = 220^2 + 184^2 .

It is a plaindrome in base 11.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 800 + ... + 896.

2⁸²²⁵⁶ is an apocalyptic number.

It is an amenable number.

82256 is a deficient number, since it is larger than the sum of its proper divisors (81796).

82256 is a wasteful number, since it uses less digits than its factorization.

82256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 82256 is about 286.8030683239. The cubic root of 82256 is about 43.4899787547.

It can be divided in two parts, 822 and 56, that added together give a palindrome (878).

The spelling of 82256 in words is "eighty-two thousand, two hundred fifty-six".