83804 has 24 divisors (see below), whose sum is σ = 174048. Its totient is φ = 34560.

The previous prime is 83791. The next prime is 83813. The reversal of 83804 is 40838.

83804 = T₄₁ + T₄₂ + ... + T₈₂.

It is a super-2 number, since 2×83804² = 14046220832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83804.

It is a congruent number.

It is an unprimeable number.

83804 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (7252).

2⁸³⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87024).

83804 is an abundant number, since it is smaller than the sum of its proper divisors (90244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83804 is a wasteful number, since it uses less digits than its factorization.

83804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 83804 is about 289.4892053255. The cubic root of 83804 is about 43.7611019445.

The spelling of 83804 in words is "eighty-three thousand, eight hundred four".