13804 has 24 divisors (see below), whose sum is σ = 30240. Its totient is φ = 5376.

The previous prime is 13799. The next prime is 13807. The reversal of 13804 is 40831.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (13807) 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, 462 + ... + 490.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹³⁸⁰⁴ is an apocalyptic number.

13804 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 13804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

13804 is an abundant number, since it is smaller than the sum of its proper divisors (16436).

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

13804 is a wasteful number, since it uses less digits than its factorization.

13804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13804 is about 117.4904251418. The cubic root of 13804 is about 23.9884203398.

The spelling of 13804 in words is "thirteen thousand, eight hundred four".