33273984 has 64 divisors (see below), whose sum is σ = 89670240. Its totient is φ = 10930176.

The previous prime is 33273973. The next prime is 33274013. The reversal of 33273984 is 48937233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33273984² = 2214316022464512, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27439 + ... + 28625.

Almost surely, 2^33273984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44835120).

33273984 is an abundant number, since it is smaller than the sum of its proper divisors (56396256).

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

33273984 is a wasteful number, since it uses less digits than its factorization.

33273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1265 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 33273984 is about 5768.3605989917. The cubic root of 33273984 is about 321.6386775591.

The spelling of 33273984 in words is "thirty-three million, two hundred seventy-three thousand, nine hundred eighty-four".