9005009 has 8 divisors (see below), whose sum is σ = 9721320. Its totient is φ = 8292096.

The previous prime is 9004999. The next prime is 9005011.

9005009 is nontrivially palindromic in base 10.

9005009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 577600 + 8427409 = 760^2 + 2903^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9005009 - 2¹² = 9000913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9005039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8729 + ... + 9705.

It is an arithmetic number, because the mean of its divisors is an integer number (1215165).

Almost surely, 2^9005009 is an apocalyptic number.

It is an amenable number.

9005009 is a deficient number, since it is larger than the sum of its proper divisors (716311).

9005009 is a wasteful number, since it uses less digits than its factorization.

9005009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699.

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 9005009 is about 3000.8347172079. The cubic root of 9005009 is about 208.0469645553.

The spelling of 9005009 in words is "nine million, five thousand, nine".