9000957 has 12 divisors (see below), whose sum is σ = 13960896. Its totient is φ = 5143320.

The previous prime is 9000931. The next prime is 9000961. The reversal of 9000957 is 7590009.

It is a happy number.

It is not a de Polignac number, because 9000957 - 2¹⁵ = 8968189 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30469 + ... + 30762.

It is an arithmetic number, because the mean of its divisors is an integer number (1163408).

Almost surely, 2^9000957 is an apocalyptic number.

It is an amenable number.

9000957 is a deficient number, since it is larger than the sum of its proper divisors (4959939).

9000957 is a wasteful number, since it uses less digits than its factorization.

9000957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61248 (or 61241 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 9000957 is about 3000.1594957602. The cubic root of 9000957 is about 208.0157547854.

The spelling of 9000957 in words is "nine million, nine hundred fifty-seven", and thus it is an aban number.