9002905 has 12 divisors (see below), whose sum is σ = 11194092. Its totient is φ = 6950720.

The previous prime is 9002893. The next prime is 9002909. The reversal of 9002905 is 5092009.

It can be written as a sum of positive squares in 6 ways, for example, as 499849 + 8503056 = 707^2 + 2916^2 .

It is not a de Polignac number, because 9002905 - 2⁹ = 9002393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9002905.

It is not an unprimeable number, because it can be changed into a prime (9002909) 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 11 ways as a sum of consecutive naturals, for example, 3135 + ... + 5275.

It is an arithmetic number, because the mean of its divisors is an integer number (932841).

Almost surely, 2^9002905 is an apocalyptic number.

It is an amenable number.

9002905 is a deficient number, since it is larger than the sum of its proper divisors (2191187).

9002905 is a wasteful number, since it uses less digits than its factorization.

9002905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 9002905 is about 3000.4841276034. The cubic root of 9002905 is about 208.0307600588.

The spelling of 9002905 in words is "nine million, two thousand, nine hundred five".