8005013 has 4 divisors (see below), whose sum is σ = 8028300. Its totient is φ = 7981728.

The previous prime is 8005007. The next prime is 8005027. The reversal of 8005013 is 3105008.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3912484 + 4092529 = 1978^2 + 2023^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005013 - 2⁶ = 8004949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8004982 and 8005000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11120 + ... + 11817.

It is an arithmetic number, because the mean of its divisors is an integer number (2007075).

Almost surely, 2^8005013 is an apocalyptic number.

It is an amenable number.

8005013 is a deficient number, since it is larger than the sum of its proper divisors (23287).

8005013 is a wasteful number, since it uses less digits than its factorization.

8005013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23286.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 8005013 is about 2829.3131675373. The cubic root of 8005013 is about 200.0417662773.

The spelling of 8005013 in words is "eight million, five thousand, thirteen".