33839057 has 18 divisors (see below), whose sum is σ = 41566338. Its totient is φ = 27463968.

The previous prime is 33839041. The next prime is 33839083. The reversal of 33839057 is 75093833.

It can be written as a sum of positive squares in only one way, i.e., 32706961 + 1132096 = 5719^2 + 1064^2 .

It is not a de Polignac number, because 33839057 - 2⁴ = 33839041 is a prime.

It is a super-2 number, since 2×33839057² = 2290163557298498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33839057.

It is not an unprimeable number, because it can be changed into a prime (33839257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16733 + ... + 18645.

It is an arithmetic number, because the mean of its divisors is an integer number (2309241).

Almost surely, 2^33839057 is an apocalyptic number.

It is an amenable number.

33839057 is a deficient number, since it is larger than the sum of its proper divisors (7727281).

33839057 is a wasteful number, since it uses less digits than its factorization.

33839057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 33839057 is about 5817.1347758153. The cubic root of 33839057 is about 323.4492019866.

The spelling of 33839057 in words is "thirty-three million, eight hundred thirty-nine thousand, fifty-seven".