8000013 has 16 divisors (see below), whose sum is σ = 12908160. Its totient is φ = 4302336.

The previous prime is 8000009. The next prime is 8000017. The reversal of 8000013 is 3100008.

8000013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8000009) and next prime (8000017).

It is not a de Polignac number, because 8000013 - 2² = 8000009 is a prime.

8000013 is a modest number, since divided by 13 gives 8 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10848 + ... + 11561.

It is an arithmetic number, because the mean of its divisors is an integer number (806760).

Almost surely, 2^8000013 is an apocalyptic number.

It is an amenable number.

8000013 is a deficient number, since it is larger than the sum of its proper divisors (4908147).

8000013 is a wasteful number, since it uses less digits than its factorization.

8000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22436.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 8000013 is about 2828.4294228423. The cubic root of 8000013 is about 200.0001083333. Note that the first 3 decimals are identical.

The spelling of 8000013 in words is "eight million, thirteen", and thus it is an aban number and an uban number.