83256 has 16 divisors (see below), whose sum is σ = 208200. Its totient is φ = 27744.

The previous prime is 83243. The next prime is 83257. The reversal of 83256 is 65238.

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: 3469 = 83256 / (8 + 3 + 2 + 5 + 6).

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1711 + ... + 1758.

2⁸³²⁵⁶ is an apocalyptic number.

It is an amenable number.

83256 is an abundant number, since it is smaller than the sum of its proper divisors (124944).

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 (104100).

83256 is a wasteful number, since it uses less digits than its factorization.

83256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3474 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 83256 is about 288.5411582426. The cubic root of 83256 is about 43.6655076773.

It can be divided in two parts, 832 and 56, that added together give a palindrome (888).

The spelling of 83256 in words is "eighty-three thousand, two hundred fifty-six".