13004037 has 16 divisors (see below), whose sum is σ = 20280000. Its totient is φ = 8212752.

The previous prime is 13003987. The next prime is 13004051. The reversal of 13004037 is 73040031.

It is not a de Polignac number, because 13004037 - 2¹⁰ = 13003013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12162 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (1267500).

Almost surely, 2^13004037 is an apocalyptic number.

It is an amenable number.

13004037 is a deficient number, since it is larger than the sum of its proper divisors (7275963).

13004037 is a wasteful number, since it uses less digits than its factorization.

13004037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25377 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13004037 is about 3606.1110631815. Note that the first 3 decimals coincide. The cubic root of 13004037 is about 235.1578055816.

Adding to 13004037 its reverse (73040031), we get a palindrome (86044068).

The spelling of 13004037 in words is "thirteen million, four thousand, thirty-seven".