218833 has 2 divisors, whose sum is σ = 218834. Its totient is φ = 218832.

The previous prime is 218819. The next prime is 218839. The reversal of 218833 is 338812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173889 + 44944 = 417^2 + 212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-218833 is a prime.

218833 is a lucky number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 218798 and 218807.

It is not a weakly prime, because it can be changed into another prime (218839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109416 + 109417.

It is an arithmetic number, because the mean of its divisors is an integer number (109417).

2²¹⁸⁸³³ is an apocalyptic number.

It is an amenable number.

218833 is a deficient number, since it is larger than the sum of its proper divisors (1).

218833 is an equidigital number, since it uses as much as digits as its factorization.

218833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 25.

The square root of 218833 is about 467.7958956639. The cubic root of 218833 is about 60.2611762811.

The spelling of 218833 in words is "two hundred eighteen thousand, eight hundred thirty-three".