9002007 has 24 divisors (see below), whose sum is σ = 15210624. Its totient is φ = 5022864.

The previous prime is 9002003. The next prime is 9002009. The reversal of 9002007 is 7002009.

9002007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9002007 - 2² = 9002003 is a prime.

It is a super-2 number, since 2×9002007² = 162072260056098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048 + ... + 4370.

It is an arithmetic number, because the mean of its divisors is an integer number (633776).

Almost surely, 2^9002007 is an apocalyptic number.

9002007 is a deficient number, since it is larger than the sum of its proper divisors (6208617).

9002007 is a wasteful number, since it uses less digits than its factorization.

9002007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 9002007 is about 3000.3344813537. The cubic root of 9002007 is about 208.0238431124.

The spelling of 9002007 in words is "nine million, two thousand, seven".