33798 has 16 divisors (see below), whose sum is σ = 69696. Its totient is φ = 10920.

The previous prime is 33797. The next prime is 33809. The reversal of 33798 is 89733.

It is a super-2 number, since 2×33798² = 2284609608, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 3⁶ + 7² + 9 + 8⁵ .

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, 193 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (4356).

2³³⁷⁹⁸ is an apocalyptic number.

33798 is an abundant number, since it is smaller than the sum of its proper divisors (35898).

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 (34848).

33798 is a wasteful number, since it uses less digits than its factorization.

33798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its digits is 4536, while the sum is 30.

The square root of 33798 is about 183.8423237451. The cubic root of 33798 is about 32.3318335177.

It can be divided in two parts, 337 and 98, that added together give a triangular number (435 = T₂₉).

The spelling of 33798 in words is "thirty-three thousand, seven hundred ninety-eight".