15204 has 24 divisors (see below), whose sum is σ = 40768. Its totient is φ = 4320.

The previous prime is 15199. The next prime is 15217. The reversal of 15204 is 40251.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 15204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 174.

2¹⁵²⁰⁴ is an apocalyptic number.

15204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384).

15204 is an abundant number, since it is smaller than the sum of its proper divisors (25564).

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

15204 is a wasteful number, since it uses less digits than its factorization.

15204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 15204 is about 123.3045011344. The cubic root of 15204 is about 24.7734193184.

Adding to 15204 its reverse (40251), we get a palindrome (55455).

The spelling of 15204 in words is "fifteen thousand, two hundred four".