33918 has 8 divisors (see below), whose sum is σ = 67848. Its totient is φ = 11304.

The previous prime is 33911. The next prime is 33923. The reversal of 33918 is 81933.

33918 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

33918 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2821 + ... + 2832.

It is an arithmetic number, because the mean of its divisors is an integer number (8481).

2³³⁹¹⁸ is an apocalyptic number.

33918 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (33924).

33918 is a wasteful number, since it uses less digits than its factorization.

33918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658.

The product of its digits is 648, while the sum is 24.

The square root of 33918 is about 184.1684011985. The cubic root of 33918 is about 32.3700531094.

The spelling of 33918 in words is "thirty-three thousand, nine hundred eighteen".