12804 has 24 divisors (see below), whose sum is σ = 32928. Its totient is φ = 3840.

The previous prime is 12799. The next prime is 12809. The reversal of 12804 is 40821.

12804 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (12799) and next prime (12809).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (12809) 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, 84 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (1372).

2¹²⁸⁰⁴ 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 12804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464).

12804 is an abundant number, since it is smaller than the sum of its proper divisors (20124).

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

12804 is a wasteful number, since it uses less digits than its factorization.

12804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12804 is about 113.1547612785. The cubic root of 12804 is about 23.3945783334.

The spelling of 12804 in words is "twelve thousand, eight hundred four".