13504 has 14 divisors (see below), whose sum is σ = 26924. Its totient is φ = 6720.

The previous prime is 13499. The next prime is 13513. The reversal of 13504 is 40531.

13504 is nontrivially palindromic in base 15.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42 + ... + 169.

2¹³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

13504 is a deficient number, since it is larger than the sum of its proper divisors (13420).

13504 is an equidigital number, since it uses as much as digits as its factorization.

13504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13504 is about 116.2067123707. The cubic root of 13504 is about 23.8133672526.

The spelling of 13504 in words is "thirteen thousand, five hundred four".