9000875 has 32 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 6384000.

The previous prime is 9000841. The next prime is 9000877. The reversal of 9000875 is 5780009.

It is a happy number.

It is not a de Polignac number, because 9000875 - 2¹⁴ = 8984491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (9000877) 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 in 31 ways as a sum of consecutive naturals, for example, 47030 + ... + 47220.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^9000875 is an apocalyptic number.

9000875 is a deficient number, since it is larger than the sum of its proper divisors (3578965).

9000875 is a wasteful number, since it uses less digits than its factorization.

9000875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 9000875 is about 3000.1458297889. The cubic root of 9000875 is about 208.0151230991.

The spelling of 9000875 in words is "nine million, eight hundred seventy-five", and thus it is an aban number.