82004 has 24 divisors (see below), whose sum is σ = 164640. Its totient is φ = 35424.

The previous prime is 82003. The next prime is 82007. The reversal of 82004 is 40028.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 82004.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82004.

It is not an unprimeable number, because it can be changed into a prime (82003) 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 7 ways as a sum of consecutive naturals, for example, 947 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

2⁸²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

82004 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 (82320).

82004 is a wasteful number, since it uses less digits than its factorization.

82004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 82004 is about 286.3634054833. The cubic root of 82004 is about 43.4455212660.

The spelling of 82004 in words is "eighty-two thousand, four".