9002009 has 2 divisors, whose sum is σ = 9002010. Its totient is φ = 9002008.

The previous prime is 9002003. The next prime is 9002011.

9002009 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6451600 + 2550409 = 2540^2 + 1597^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9002009 is a prime.

Together with 9002011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9002003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4501004 + 4501005.

It is an arithmetic number, because the mean of its divisors is an integer number (4501005).

Almost surely, 2^9002009 is an apocalyptic number.

It is an amenable number.

9002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

9002009 is an equidigital number, since it uses as much as digits as its factorization.

9002009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 9002009 is about 3000.3348146499. The cubic root of 9002009 is about 208.0238585181.

The spelling of 9002009 in words is "nine million, two thousand, nine".