36504 has 48 divisors (see below), whose sum is σ = 109800. Its totient is φ = 11232.

The previous prime is 36497. The next prime is 36523. The reversal of 36504 is 40563.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an Ulam number.

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36504.

It is an unprimeable number.

36504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 2802 + ... + 2814.

2³⁶⁵⁰⁴ 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 36504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54900).

36504 is an abundant number, since it is smaller than the sum of its proper divisors (73296).

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

36504 is a wasteful number, since it uses less digits than its factorization.

36504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36504 is about 191.0601999371. The cubic root of 36504 is about 33.1726488821.

Adding to 36504 its product of nonzero digits (360), we get a square (36864 = 192²).

The spelling of 36504 in words is "thirty-six thousand, five hundred four".