216084 has 24 divisors (see below), whose sum is σ = 550368. Its totient is φ = 65440.

The previous prime is 216071. The next prime is 216091. The reversal of 216084 is 480612.

216084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216084.

It is a congruent number.

It is an unprimeable number.

216084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 687 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

216084 is a Friedman number, since it can be written as 84+60^(2+1), using all its digits and the basic arithmetic operations.

2²¹⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

216084 is an abundant number, since it is smaller than the sum of its proper divisors (334284).

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

216084 is a wasteful number, since it uses less digits than its factorization.

216084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 216084 is about 464.8483623721. The cubic root of 216084 is about 60.0077767698.

Adding to 216084 its reverse (480612), we get a palindrome (696696).

It can be divided in two parts, 21608 and 4, that added together give a palindrome (21612).

The spelling of 216084 in words is "two hundred sixteen thousand, eighty-four".