33905125 has 8 divisors (see below), whose sum is σ = 42313752. Its totient is φ = 27124000.

The previous prime is 33905119. The next prime is 33905129. The reversal of 33905125 is 52150933.

It can be written as a sum of positive squares in 4 ways, for example, as 519841 + 33385284 = 721^2 + 5778^2 .

It is not a de Polignac number, because 33905125 - 2⁵ = 33905093 is a prime.

It is a super-2 number, since 2×33905125² = 2299115002531250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33905093 and 33905102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33905129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135496 + ... + 135745.

It is an arithmetic number, because the mean of its divisors is an integer number (5289219).

Almost surely, 2^33905125 is an apocalyptic number.

It is an amenable number.

33905125 is a deficient number, since it is larger than the sum of its proper divisors (8408627).

33905125 is an equidigital number, since it uses as much as digits as its factorization.

33905125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271256 (or 271246 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 33905125 is about 5822.8107473968. The cubic root of 33905125 is about 323.6595678709.

It can be divided in two parts, 339051 and 25, that added together give a triangular number (339076 = T₈₂₃).

The spelling of 33905125 in words is "thirty-three million, nine hundred five thousand, one hundred twenty-five".