218829 has 16 divisors (see below), whose sum is σ = 326144. Its totient is φ = 129600.

The previous prime is 218819. The next prime is 218833. The reversal of 218829 is 928812.

It is not a de Polignac number, because 218829 - 2⁵ = 218797 is a prime.

It is a super-2 number, since 2×218829² = 95772262482, which contains 22 as substring.

218829 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 218796 and 218805.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218829.

It is not an unprimeable number, because it can be changed into a prime (218809) 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, 1119 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2²¹⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

218829 is a deficient number, since it is larger than the sum of its proper divisors (107315).

218829 is a wasteful number, since it uses less digits than its factorization.

218829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its digits is 2304, while the sum is 30.

The square root of 218829 is about 467.7916202755. The cubic root of 218829 is about 60.2608091119.

The spelling of 218829 in words is "two hundred eighteen thousand, eight hundred twenty-nine".