13004 has 6 divisors (see below), whose sum is σ = 22764. Its totient is φ = 6500.

The previous prime is 13003. The next prime is 13007. The reversal of 13004 is 40031.

13004 is nontrivially palindromic in base 7.

13004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12982 and 13000.

It is not an unprimeable number, because it can be changed into a prime (13001) by changing a digit.

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 as a sum of consecutive naturals, namely, 1622 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (3794).

2¹³⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

13004 is a deficient number, since it is larger than the sum of its proper divisors (9760).

13004 is a wasteful number, since it uses less digits than its factorization.

13004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13004 is about 114.0350823212. The cubic root of 13004 is about 23.5157582552.

Adding to 13004 its reverse (40031), we get a palindrome (53035).

The spelling of 13004 in words is "thirteen thousand, four".