36804 has 12 divisors (see below), whose sum is σ = 85904. Its totient is φ = 12264.

The previous prime is 36793. The next prime is 36809. The reversal of 36804 is 40863.

36804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a nialpdrome in base 6 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36804.

It is not an unprimeable number, because it can be changed into a prime (36809) by changing a digit.

36804 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 3 ways as a sum of consecutive naturals, for example, 1522 + ... + 1545.

2³⁶⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

36804 is an abundant number, since it is smaller than the sum of its proper divisors (49100).

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 (42952).

36804 is a wasteful number, since it uses less digits than its factorization.

36804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 36804 is about 191.8436863699. The cubic root of 36804 is about 33.2632750806.

The spelling of 36804 in words is "thirty-six thousand, eight hundred four".