33318 has 16 divisors (see below), whose sum is σ = 74160. Its totient is φ = 11088.

The previous prime is 33317. The next prime is 33329. The reversal of 33318 is 81333.

It is a super-2 number, since 2×33318² = 2220178248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁸ + 3⁸ + 3⁹ + 1 + 8³ .

It is a self number, because there is not a number n which added to its sum of digits gives 33318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33311) 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, 255 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (4635).

2³³³¹⁸ is an apocalyptic number.

33318 is an abundant number, since it is smaller than the sum of its proper divisors (40842).

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 (37080).

33318 is a wasteful number, since it uses less digits than its factorization.

33318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 33318 is about 182.5321889421. The cubic root of 33318 is about 32.1780440065.

It can be divided in two parts, 333 and 18, that added together give a triangular number (351 = T₂₆).

The spelling of 33318 in words is "thirty-three thousand, three hundred eighteen".