33804 has 24 divisors (see below), whose sum is σ = 87920. Its totient is φ = 11232.

The previous prime is 33797. The next prime is 33809. The reversal of 33804 is 40833.

It is a super-2 number, since 2×33804² = 2285420832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁵ + 3⁶ + 8⁵ + 0 + 4³ .

It is not an unprimeable number, because it can be changed into a prime (33809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 264.

2³³⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

33804 is an abundant number, since it is smaller than the sum of its proper divisors (54116).

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 (43960).

33804 is a wasteful number, since it uses less digits than its factorization.

33804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33804 is about 183.8586413525. The cubic root of 33804 is about 32.3337466439. Note that the first 3 decimals are identical.

The spelling of 33804 in words is "thirty-three thousand, eight hundred four".