33080 has 16 divisors (see below), whose sum is σ = 74520. Its totient is φ = 13216.

The previous prime is 33073. The next prime is 33083. The reversal of 33080 is 8033.

33080 = T₁₉ + T₂₀ + ... + T₅₈.

It is a happy number.

33080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

33080 is strictly pandigital in base 6.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 374 + ... + 453.

2³³⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

33080 is an abundant number, since it is smaller than the sum of its proper divisors (41440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37260).

33080 is a wasteful number, since it uses less digits than its factorization.

33080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 33080 is about 181.8790807102. The cubic root of 33080 is about 32.1012418524.

The spelling of 33080 in words is "thirty-three thousand, eighty".