9005300 has 18 divisors (see below), whose sum is σ = 19541718. Its totient is φ = 3602080.

The previous prime is 9005299. The next prime is 9005327. The reversal of 9005300 is 35009.

It can be written as a sum of positive squares in 3 ways, for example, as 583696 + 8421604 = 764^2 + 2902^2 .

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 5 ways as a sum of consecutive naturals, for example, 44927 + ... + 45126.

It is an arithmetic number, because the mean of its divisors is an integer number (1085651).

Almost surely, 2^9005300 is an apocalyptic number.

It is an amenable number.

9005300 is an abundant number, since it is smaller than the sum of its proper divisors (10536418).

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

9005300 is a wasteful number, since it uses less digits than its factorization.

9005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90067 (or 90060 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 9005300 is about 3000.8832033253. The cubic root of 9005300 is about 208.0492055678.

The spelling of 9005300 in words is "nine million, five thousand, three hundred".