33125364 has 18 divisors (see below), whose sum is σ = 83733650. Its totient is φ = 11041776.

The previous prime is 33125363. The next prime is 33125387. The reversal of 33125364 is 46352133.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29484900 + 3640464 = 5430^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33125363) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 460039 + ... + 460110.

Almost surely, 2^33125364 is an apocalyptic number.

It is an amenable number.

33125364 is an abundant number, since it is smaller than the sum of its proper divisors (50608286).

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

33125364 is a wasteful number, since it uses less digits than its factorization.

33125364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920159 (or 920154 counting only the distinct ones).

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

The square root of 33125364 is about 5755.4638388231. The cubic root of 33125364 is about 321.1590907909.

Adding to 33125364 its reverse (46352133), we get a palindrome (79477497).

It can be divided in two parts, 33125 and 364, that added together give a square (33489 = 183²).

The spelling of 33125364 in words is "thirty-three million, one hundred twenty-five thousand, three hundred sixty-four".