9004013 has 2 divisors, whose sum is σ = 9004014. Its totient is φ = 9004012.

The previous prime is 9003997. The next prime is 9004019. The reversal of 9004013 is 3104009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7038409 + 1965604 = 2653^2 + 1402^2 .

It is a cyclic number.

It is not a de Polignac number, because 9004013 - 2⁴ = 9003997 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9003982 and 9004000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9004019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4502006 + 4502007.

It is an arithmetic number, because the mean of its divisors is an integer number (4502007).

Almost surely, 2^9004013 is an apocalyptic number.

It is an amenable number.

9004013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9004013 is an equidigital number, since it uses as much as digits as its factorization.

9004013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 9004013 is about 3000.6687587936. The cubic root of 9004013 is about 208.0392939201.

It can be divided in two parts, 900 and 4013, that added together give a cube (4913 = 17³).

The spelling of 9004013 in words is "nine million, four thousand, thirteen".