218133 has 10 divisors (see below), whose sum is σ = 325974. Its totient is φ = 145368.

The previous prime is 218131. The next prime is 218137. The reversal of 218133 is 331812.

It can be written as a sum of positive squares in only one way, i.e., 178929 + 39204 = 423^2 + 198^2 .

It is not a de Polignac number, because 218133 - 2¹ = 218131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1266 + ... + 1427.

2²¹⁸¹³³ is an apocalyptic number.

It is an amenable number.

218133 is a deficient number, since it is larger than the sum of its proper divisors (107841).

218133 is an equidigital number, since it uses as much as digits as its factorization.

218133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2696 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 218133 is about 467.0471068318. The cubic root of 218133 is about 60.1968534391.

Adding to 218133 its reverse (331812), we get a palindrome (549945).

It can be divided in two parts, 218 and 133, that added together give a triangular number (351 = T₂₆).

The spelling of 218133 in words is "two hundred eighteen thousand, one hundred thirty-three".