82964 has 12 divisors (see below), whose sum is σ = 165984. Its totient is φ = 35544.

The previous prime is 82963. The next prime is 82981. The reversal of 82964 is 46928.

82964 = T₁₄₀ + T₁₄₁ + ... + T₁₄₇.

82964 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82963) by changing a digit.

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, 1454 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2⁸²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

82964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (82992).

82964 is a wasteful number, since it uses less digits than its factorization.

82964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2972 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 82964 is about 288.0347201294. The cubic root of 82964 is about 43.6143991943.

The spelling of 82964 in words is "eighty-two thousand, nine hundred sixty-four".