33042984 has 32 divisors (see below), whose sum is σ = 88962720. Its totient is φ = 10166976.

The previous prime is 33042983. The next prime is 33043013. The reversal of 33042984 is 48924033.

It is not an unprimeable number, because it can be changed into a prime (33042983) 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 7 ways as a sum of consecutive naturals, for example, 52642 + ... + 53265.

It is an arithmetic number, because the mean of its divisors is an integer number (2780085).

Almost surely, 2^33042984 is an apocalyptic number.

It is an amenable number.

33042984 is an abundant number, since it is smaller than the sum of its proper divisors (55919736).

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

33042984 is a wasteful number, since it uses less digits than its factorization.

33042984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105929 (or 105925 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 33042984 is about 5748.3027060168. The cubic root of 33042984 is about 320.8926378856.

The spelling of 33042984 in words is "thirty-three million, forty-two thousand, nine hundred eighty-four".