33038325 has 18 divisors (see below), whose sum is σ = 59175714. Its totient is φ = 17620320.

The previous prime is 33038287. The next prime is 33038339. The reversal of 33038325 is 52383033.

It is a happy number.

33038325 is a `hidden beast` number, since 330 + 3 + 8 + 325 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2634129 + 30404196 = 1623^2 + 5514^2 .

It is not a de Polignac number, because 33038325 - 2⁹ = 33037813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73194 + ... + 73643.

Almost surely, 2^33038325 is an apocalyptic number.

It is an amenable number.

33038325 is a deficient number, since it is larger than the sum of its proper divisors (26137389).

33038325 is a wasteful number, since it uses less digits than its factorization.

33038325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146853 (or 146845 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 33038325 is about 5747.8974416738. The cubic root of 33038325 is about 320.8775554193.

It can be divided in two parts, 3303 and 8325, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 33038325 in words is "thirty-three million, thirty-eight thousand, three hundred twenty-five".