83204 has 24 divisors (see below), whose sum is σ = 166656. Its totient is φ = 36000.

The previous prime is 83203. The next prime is 83207. The reversal of 83204 is 40238.

83204 is an admirable number.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (83203) 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, 1334 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2⁸³²⁰⁴ is an apocalyptic number.

It is an amenable number.

83204 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 (83328).

83204 is a wasteful number, since it uses less digits than its factorization.

83204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 83204 is about 288.4510357062. The cubic root of 83204 is about 43.6564149221.

The spelling of 83204 in words is "eighty-three thousand, two hundred four".