218823 has 16 divisors (see below), whose sum is σ = 336000. Its totient is φ = 125280.

The previous prime is 218819. The next prime is 218833. The reversal of 218823 is 328812.

It is not a de Polignac number, because 218823 - 2² = 218819 is a prime.

218823 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 218793 and 218802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2²¹⁸⁸²³ is an apocalyptic number.

218823 is a deficient number, since it is larger than the sum of its proper divisors (117177).

218823 is a wasteful number, since it uses less digits than its factorization.

218823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its digits is 768, while the sum is 24.

The square root of 218823 is about 467.7852071197. The cubic root of 218823 is about 60.2602583498.

It can be divided in two parts, 2188 and 23, that added together give a triangular number (2211 = T₆₆).

The spelling of 218823 in words is "two hundred eighteen thousand, eight hundred twenty-three".