82956 has 24 divisors (see below), whose sum is σ = 200704. Its totient is φ = 26640.

The previous prime is 82939. The next prime is 82963. The reversal of 82956 is 65928.

It is a plaindrome in base 14.

It is an unprimeable number.

82956 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 261 + ... + 483.

2⁸²⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

82956 is an abundant number, since it is smaller than the sum of its proper divisors (117748).

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 (100352).

82956 is a wasteful number, since it uses less digits than its factorization.

82956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 82956 is about 288.0208325799. The cubic root of 82956 is about 43.6129972754.

It can be divided in two parts, 8295 and 6, that multiplied together give a triangular number (49770 = T₃₁₅).

The spelling of 82956 in words is "eighty-two thousand, nine hundred fifty-six".