218322 has 32 divisors (see below), whose sum is σ = 524160. Its totient is φ = 66960.

The previous prime is 218287. The next prime is 218357. The reversal of 218322 is 223812.

It is a happy number.

218322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218287) and next prime (218357).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 218295 and 218304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218322.

It is an unprimeable number.

218322 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²¹⁸³²² is an apocalyptic number.

218322 is the 234-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

218322 is an abundant number, since it is smaller than the sum of its proper divisors (305838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218322 is a wasteful number, since it uses less digits than its factorization.

218322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 218322 is about 467.2493980734. The cubic root of 218322 is about 60.2142341517.

Subtracting from 218322 its product of digits (192), we obtain a triangular number (218130 = T₆₆₀).

The spelling of 218322 in words is "two hundred eighteen thousand, three hundred twenty-two".