9000013 has 8 divisors (see below), whose sum is σ = 10135296. Its totient is φ = 7917600.

The previous prime is 9000011. The next prime is 9000041. The reversal of 9000013 is 3100009.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9000013 - 2¹ = 9000011 is a prime.

It is a Duffinian number.

9000013 is a modest number, since divided by 13 gives 9 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 8999957 and 9000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12856 + ... + 13537.

It is an arithmetic number, because the mean of its divisors is an integer number (1266912).

Almost surely, 2^9000013 is an apocalyptic number.

It is an amenable number.

9000013 is a deficient number, since it is larger than the sum of its proper divisors (1135283).

9000013 is a wasteful number, since it uses less digits than its factorization.

9000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26435.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 9000013 is about 3000.0021666659. The cubic root of 9000013 is about 208.0084824573.

Subtracting from 9000013 its sum of digits (13), we obtain a square (9000000 = 3000²).

The spelling of 9000013 in words is "nine million, thirteen", and thus it is an aban number and an uban number.