9008009 has 8 divisors (see below), whose sum is σ = 9408960. Its totient is φ = 8613136.

The previous prime is 9007993. The next prime is 9008023.

It is a happy number.

9008009 is nontrivially palindromic in base 10.

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 9008009 - 2⁴ = 9007993 is a prime.

It is a super-2 number, since 2×9008009² = 162288452288162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9008029) 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 7 ways as a sum of consecutive naturals, for example, 1652 + ... + 4554.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 2^9008009 is an apocalyptic number.

It is an amenable number.

9008009 is a deficient number, since it is larger than the sum of its proper divisors (400951).

9008009 is a wasteful number, since it uses less digits than its factorization.

9008009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 9008009 is about 3001.3345365021. The cubic root of 9008009 is about 208.0700654612.

The spelling of 9008009 in words is "nine million, eight thousand, nine".