36904 has 16 divisors (see below), whose sum is σ = 79200. Its totient is φ = 15792.

The previous prime is 36901. The next prime is 36913. The reversal of 36904 is 40963.

It is a plaindrome in base 11.

It is a nialpdrome in base 9 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274 + ... + 385.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2³⁶⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

36904 is an abundant number, since it is smaller than the sum of its proper divisors (42296).

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 (39600).

36904 is a wasteful number, since it uses less digits than its factorization.

36904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 36904 is about 192.1041384250. The cubic root of 36904 is about 33.2933743397.

The spelling of 36904 in words is "thirty-six thousand, nine hundred four".