33005938 has 32 divisors (see below), whose sum is σ = 58466304. Its totient is φ = 13681872.

The previous prime is 33005933. The next prime is 33005981. The reversal of 33005938 is 83950033.

It is not an unprimeable number, because it can be changed into a prime (33005933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67531 + ... + 68017.

It is an arithmetic number, because the mean of its divisors is an integer number (1827072).

Almost surely, 2^33005938 is an apocalyptic number.

33005938 is a deficient number, since it is larger than the sum of its proper divisors (25460366).

33005938 is a wasteful number, since it uses less digits than its factorization.

33005938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 33005938 is about 5745.0794598508. The cubic root of 33005938 is about 320.7726705719.

The spelling of 33005938 in words is "thirty-three million, five thousand, nine hundred thirty-eight".