82164 has 24 divisors (see below), whose sum is σ = 197568. Its totient is φ = 26560.

The previous prime is 82163. The next prime is 82171. The reversal of 82164 is 46128.

It is a self number, because there is not a number n which added to its sum of digits gives 82164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82163) 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 7 ways as a sum of consecutive naturals, for example, 409 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2⁸²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

82164 is an abundant number, since it is smaller than the sum of its proper divisors (115404).

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 (98784).

82164 is a wasteful number, since it uses less digits than its factorization.

82164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 82164 is about 286.6426346516. The cubic root of 82164 is about 43.4737587802.

The spelling of 82164 in words is "eighty-two thousand, one hundred sixty-four".