33075084 has 48 divisors (see below), whose sum is σ = 90261248. Its totient is φ = 9229248.

The previous prime is 33075071. The next prime is 33075089. The reversal of 33075084 is 48057033.

It is a super-2 number, since 2×33075084² = 2187922363214112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33075089) 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, 967 + ... + 8190.

Almost surely, 2^33075084 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 33075084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45130624).

33075084 is an abundant number, since it is smaller than the sum of its proper divisors (57186164).

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

33075084 is a wasteful number, since it uses less digits than its factorization.

33075084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9212 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 33075084 is about 5751.0941567670. The cubic root of 33075084 is about 320.9965159121.

The spelling of 33075084 in words is "thirty-three million, seventy-five thousand, eighty-four".