33908 has 18 divisors (see below), whose sum is σ = 69426. Its totient is φ = 14448.

The previous prime is 33893. The next prime is 33911. The reversal of 33908 is 80933.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 784 = 182^2 + 28^2 .

It is a super-2 number, since 2×33908² = 2299504928, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

33908 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (3857).

2³³⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34713).

33908 is an abundant number, since it is smaller than the sum of its proper divisors (35518).

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

33908 is a wasteful number, since it uses less digits than its factorization.

33908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 33908 is about 184.1412501315. The cubic root of 33908 is about 32.3668715898.

The spelling of 33908 in words is "thirty-three thousand, nine hundred eight".