83004 has 12 divisors (see below), whose sum is σ = 193704. Its totient is φ = 27664.

The previous prime is 83003. The next prime is 83009. The reversal of 83004 is 40038.

83004 = 92² + 93² + ... + 100².

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83003) 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 3 ways as a sum of consecutive naturals, for example, 3447 + ... + 3470.

It is an arithmetic number, because the mean of its divisors is an integer number (16142).

2⁸³⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

83004 is an abundant number, since it is smaller than the sum of its proper divisors (110700).

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 (96852).

83004 is a wasteful number, since it uses less digits than its factorization.

83004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 83004 is about 288.1041478355. The cubic root of 83004 is about 43.6214074375.

The spelling of 83004 in words is "eighty-three thousand, four".