33084 has 18 divisors (see below), whose sum is σ = 83720. Its totient is φ = 11016.

The previous prime is 33083. The next prime is 33091. The reversal of 33084 is 48033.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3² + 3⁵ + 0 + 8⁵ + 4³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33084.

It is not an unprimeable number, because it can be changed into a prime (33083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 424 + ... + 495.

2³³⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

33084 is an abundant number, since it is smaller than the sum of its proper divisors (50636).

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

33084 is a wasteful number, since it uses less digits than its factorization.

33084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33084 is about 181.8900766947. The cubic root of 33084 is about 32.1025356835.

It can be divided in two parts, 330 and 84, that added together give a palindrome (414).

The spelling of 33084 in words is "thirty-three thousand, eighty-four".