9005113 has 8 divisors (see below), whose sum is σ = 9765000. Its totient is φ = 8254848.

The previous prime is 9005099. The next prime is 9005119. The reversal of 9005113 is 3115009.

It can be written as a sum of positive squares in 4 ways, for example, as 779689 + 8225424 = 883^2 + 2868^2 .

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 9005113 - 2⁵ = 9005081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9005119) 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, 388 + ... + 4261.

It is an arithmetic number, because the mean of its divisors is an integer number (1220625).

Almost surely, 2^9005113 is an apocalyptic number.

It is an amenable number.

9005113 is a deficient number, since it is larger than the sum of its proper divisors (759887).

9005113 is a wasteful number, since it uses less digits than its factorization.

9005113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 9005113 is about 3000.8520456697. The cubic root of 9005113 is about 208.0477654725.

The spelling of 9005113 in words is "nine million, five thousand, one hundred thirteen".