9004509 has 24 divisors (see below), whose sum is σ = 13885560. Its totient is φ = 5603328.

The previous prime is 9004507. The next prime is 9004511. The reversal of 9004509 is 9054009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9004507) and next prime (9004511).

It can be written as a sum of positive squares in 4 ways, for example, as 7371225 + 1633284 = 2715^2 + 1278^2 .

It is not a de Polignac number, because 9004509 - 2¹ = 9004507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004507) 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 23 ways as a sum of consecutive naturals, for example, 34909 + ... + 35165.

It is an arithmetic number, because the mean of its divisors is an integer number (578565).

Almost surely, 2^9004509 is an apocalyptic number.

It is an amenable number.

9004509 is a deficient number, since it is larger than the sum of its proper divisors (4881051).

9004509 is a wasteful number, since it uses less digits than its factorization.

9004509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9004509 is about 3000.7514058982. The cubic root of 9004509 is about 208.0431139055.

The spelling of 9004509 in words is "nine million, four thousand, five hundred nine".