33108 has 24 divisors (see below), whose sum is σ = 80640. Its totient is φ = 10560.

The previous prime is 33107. The next prime is 33113. The reversal of 33108 is 80133.

It is a super-2 number, since 2×33108² = 2192279328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33107) 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 7 ways as a sum of consecutive naturals, for example, 328 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³³¹⁰⁸ is an apocalyptic number.

It is an amenable number.

33108 is an abundant number, since it is smaller than the sum of its proper divisors (47532).

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 (40320).

33108 is a wasteful number, since it uses less digits than its factorization.

33108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 33108 is about 181.9560386467. The cubic root of 33108 is about 32.1102964805.

It can be divided in two parts, 33 and 108, that added together give a palindrome (141).

The spelling of 33108 in words is "thirty-three thousand, one hundred eight".