216324 has 24 divisors (see below), whose sum is σ = 561120. Its totient is φ = 72072.

The previous prime is 216319. The next prime is 216329. The reversal of 216324 is 423612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216319) and next prime (216329).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

216324 is a modest number, since divided by 324 gives 216 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 216297 and 216306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216324.

It is not an unprimeable number, because it can be changed into a prime (216329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (23380).

2²¹⁶³²⁴ is an apocalyptic number.

It is an amenable number.

216324 is an abundant number, since it is smaller than the sum of its proper divisors (344796).

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

216324 is a wasteful number, since it uses less digits than its factorization.

216324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2008 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 216324 is about 465.1064394308. The cubic root of 216324 is about 60.0299850125.

Adding to 216324 its product of digits (288), we get a palindrome (216612).

Adding to 216324 its reverse (423612), we get a palindrome (639936).

It can be divided in two parts, 2163 and 24, that added together give a 7-th power (2187 = 3⁷).

The spelling of 216324 in words is "two hundred sixteen thousand, three hundred twenty-four".