9005304 has 96 divisors (see below), whose sum is σ = 28344960. Its totient is φ = 2333760.

The previous prime is 9005299. The next prime is 9005327. The reversal of 9005304 is 4035009.

9005304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9005304³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 20107 + ... + 20549.

It is an arithmetic number, because the mean of its divisors is an integer number (295260).

Almost surely, 2^9005304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9005304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172480).

9005304 is an abundant number, since it is smaller than the sum of its proper divisors (19339656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9005304 is a wasteful number, since it uses less digits than its factorization.

9005304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 9005304 is about 3000.8838697957. The cubic root of 9005304 is about 208.0492363718.

9005304 divided by its sum of digits (21) gives a palindrome (428824).

The spelling of 9005304 in words is "nine million, five thousand, three hundred four".