33945057 has 6 divisors (see below), whose sum is σ = 49031762. Its totient is φ = 22630032.

The previous prime is 33945013. The next prime is 33945059. The reversal of 33945057 is 75054933.

33945057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 2405601 = 5616^2 + 1551^2 .

It is not a de Polignac number, because 33945057 - 2¹⁰ = 33944033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33945059) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1885828 + ... + 1885845.

Almost surely, 2^33945057 is an apocalyptic number.

It is an amenable number.

33945057 is a deficient number, since it is larger than the sum of its proper divisors (15086705).

33945057 is a wasteful number, since it uses less digits than its factorization.

33945057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771679 (or 3771676 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 33945057 is about 5826.2386665841. The cubic root of 33945057 is about 323.7865821326.

The spelling of 33945057 in words is "thirty-three million, nine hundred forty-five thousand, fifty-seven".