33625120 has 24 divisors (see below), whose sum is σ = 79439724. Its totient is φ = 13449984.

The previous prime is 33625087. The next prime is 33625139. The reversal of 33625120 is 2152633.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 309136 = 5772^2 + 556^2 .

It is a super-2 number, since 2×33625120² = 2261297390028800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33625091 and 33625100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104919 + ... + 105238.

Almost surely, 2^33625120 is an apocalyptic number.

It is an amenable number.

33625120 is an abundant number, since it is smaller than the sum of its proper divisors (45814604).

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

33625120 is a wasteful number, since it uses less digits than its factorization.

33625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210172 (or 210164 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 33625120 is about 5798.7170994971. The cubic root of 33625120 is about 322.7661245057.

Adding to 33625120 its reverse (2152633), we get a palindrome (35777753).

The spelling of 33625120 in words is "thirty-three million, six hundred twenty-five thousand, one hundred twenty".