8008013 has 12 divisors (see below), whose sum is σ = 8925084. Its totient is φ = 7142400.

The previous prime is 8008009. The next prime is 8008081. The reversal of 8008013 is 3108008.

8008013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4313929 + 3694084 = 2077^2 + 1922^2 .

It is not a de Polignac number, because 8008013 - 2² = 8008009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12173 + ... + 12813.

It is an arithmetic number, because the mean of its divisors is an integer number (743757).

Almost surely, 2^8008013 is an apocalyptic number.

It is an amenable number.

8008013 is a deficient number, since it is larger than the sum of its proper divisors (917071).

8008013 is a wasteful number, since it uses less digits than its factorization.

8008013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8008013 is about 2829.8432818798. The cubic root of 8008013 is about 200.0667527179.

The spelling of 8008013 in words is "eight million, eight thousand, thirteen".