33133204 has 48 divisors (see below), whose sum is σ = 67970448. Its totient is φ = 13989888.

The previous prime is 33133193. The next prime is 33133231. The reversal of 33133204 is 40233133.

It can be written as a sum of positive squares in 8 ways, for example, as 1188100 + 31945104 = 1090^2 + 5652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32202 + ... + 33214.

It is an arithmetic number, because the mean of its divisors is an integer number (1416051).

Almost surely, 2^33133204 is an apocalyptic number.

33133204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

33133204 is an abundant number, since it is smaller than the sum of its proper divisors (34837244).

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

33133204 is a wasteful number, since it uses less digits than its factorization.

33133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 33133204 is about 5756.1448904627. The cubic root of 33133204 is about 321.1844257443.

Adding to 33133204 its reverse (40233133), we get a palindrome (73366337).

The spelling of 33133204 in words is "thirty-three million, one hundred thirty-three thousand, two hundred four".