33120125 has 8 divisors (see below), whose sum is σ = 41334072. Its totient is φ = 26496000.

The previous prime is 33120119. The next prime is 33120137. The reversal of 33120125 is 52102133.

It can be written as a sum of positive squares in 4 ways, for example, as 2627641 + 30492484 = 1621^2 + 5522^2 .

It is not a de Polignac number, because 33120125 - 2²⁰ = 32071549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132356 + ... + 132605.

It is an arithmetic number, because the mean of its divisors is an integer number (5166759).

Almost surely, 2^33120125 is an apocalyptic number.

It is an amenable number.

33120125 is a deficient number, since it is larger than the sum of its proper divisors (8213947).

33120125 is an equidigital number, since it uses as much as digits as its factorization.

33120125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264976 (or 264966 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 33120125 is about 5755.0086880907. The cubic root of 33120125 is about 321.1421587386.

Adding to 33120125 its reverse (52102133), we get a palindrome (85222258).

The spelling of 33120125 in words is "thirty-three million, one hundred twenty thousand, one hundred twenty-five".