33790 has 16 divisors (see below), whose sum is σ = 63360. Its totient is φ = 12960.

The previous prime is 33773. The next prime is 33791. The reversal of 33790 is 9733.

It is a super-2 number, since 2×33790² = 2283528200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2³³⁷⁹⁰ is an apocalyptic number.

33790 is a deficient number, since it is larger than the sum of its proper divisors (29570).

33790 is a wasteful number, since it uses less digits than its factorization.

33790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 33790 is about 183.8205646820. The cubic root of 33790 is about 32.3292823304.

The spelling of 33790 in words is "thirty-three thousand, seven hundred ninety".