33380 has 12 divisors (see below), whose sum is σ = 70140. Its totient is φ = 13344.

The previous prime is 33377. The next prime is 33391. The reversal of 33380 is 8333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 18496 = 122^2 + 136^2 .

It is a super-2 number, since 2×33380² = 2228448800, which contains 22 as substring.

It is a plaindrome in base 13.

It is an unprimeable number.

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, 815 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (5845).

2³³³⁸⁰ is an apocalyptic number.

It is an amenable number.

33380 is an abundant number, since it is smaller than the sum of its proper divisors (36760).

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 (35070).

33380 is a wasteful number, since it uses less digits than its factorization.

33380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 33380 is about 182.7019430657. The cubic root of 33380 is about 32.1979912073.

The spelling of 33380 in words is "thirty-three thousand, three hundred eighty".