82756 has 12 divisors (see below), whose sum is σ = 153468. Its totient is φ = 38912.

The previous prime is 82729. The next prime is 82757. The reversal of 82756 is 65728.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 36100 = 216^2 + 190^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (82757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 541 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (12789).

2⁸²⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

82756 is a deficient number, since it is larger than the sum of its proper divisors (70712).

82756 is a wasteful number, since it uses less digits than its factorization.

82756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 82756 is about 287.6734259538. The cubic root of 82756 is about 43.5779199706.

Subtracting from 82756 its sum of digits (28), we obtain a palindrome (82728).

It can be divided in two parts, 8275 and 6, that added together give a square (8281 = 91²).

The spelling of 82756 in words is "eighty-two thousand, seven hundred fifty-six".