33218 has 8 divisors (see below), whose sum is σ = 52812. Its totient is φ = 15616.

The previous prime is 33211. The next prime is 33223. The reversal of 33218 is 81233.

33218 = 47² + 48² + ... + 58².

It can be written as a sum of positive squares in 2 ways, for example, as 27889 + 5329 = 167^2 + 73^2 .

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

It is a super-2 number, since 2×33218² = 2206871048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 33196 and 33205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33211) by changing a digit.

33218 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 455 + ... + 522.

2³³²¹⁸ is an apocalyptic number.

33218 is a deficient number, since it is larger than the sum of its proper divisors (19594).

33218 is a wasteful number, since it uses less digits than its factorization.

33218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996.

The product of its digits is 144, while the sum is 17.

The square root of 33218 is about 182.2580588067. The cubic root of 33218 is about 32.1458188923.

The spelling of 33218 in words is "thirty-three thousand, two hundred eighteen".