33204125 has 16 divisors (see below), whose sum is σ = 41836080. Its totient is φ = 26308800.

The previous prime is 33204121. The next prime is 33204151. The reversal of 33204125 is 52140233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1776889 + 31427236 = 1333^2 + 5606^2 .

It is not a de Polignac number, because 33204125 - 2² = 33204121 is a prime.

It is a super-2 number, since 2×33204125² = 2205027834031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33204097 and 33204106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33204121) 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 15 ways as a sum of consecutive naturals, for example, 12407 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (2614755).

Almost surely, 2^33204125 is an apocalyptic number.

It is an amenable number.

33204125 is a deficient number, since it is larger than the sum of its proper divisors (8631955).

33204125 is a wasteful number, since it uses less digits than its factorization.

33204125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 33204125 is about 5762.3020573378. The cubic root of 33204125 is about 321.4134255062.

Adding to 33204125 its reverse (52140233), we get a palindrome (85344358).

The spelling of 33204125 in words is "thirty-three million, two hundred four thousand, one hundred twenty-five".