9003975 has 24 divisors (see below), whose sum is σ = 14975232. Its totient is φ = 4773600.

The previous prime is 9003959. The next prime is 9003977. The reversal of 9003975 is 5793009.

9003975 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9003975 - 2⁴ = 9003959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9003977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20104 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (623968).

Almost surely, 2^9003975 is an apocalyptic number.

9003975 is a deficient number, since it is larger than the sum of its proper divisors (5971257).

9003975 is a wasteful number, since it uses less digits than its factorization.

9003975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 9003975 is about 3000.6624268651. The cubic root of 9003975 is about 208.0390012541.

The spelling of 9003975 in words is "nine million, three thousand, nine hundred seventy-five".