219216 has 20 divisors (see below), whose sum is σ = 566432. Its totient is φ = 73056.

The previous prime is 219187. The next prime is 219217. The reversal of 219216 is 612912.

It is a junction number, because it is equal to n+sod(n) for n = 219192 and 219201.

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 219216.

It is not an unprimeable number, because it can be changed into a prime (219217) by changing a digit.

219216 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 3 ways as a sum of consecutive naturals, for example, 2236 + ... + 2331.

2²¹⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

219216 is an abundant number, since it is smaller than the sum of its proper divisors (347216).

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

219216 is a wasteful number, since it uses less digits than its factorization.

219216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4572 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 219216 is about 468.2050832701. The cubic root of 219216 is about 60.2963120219.

It can be divided in two parts, 219 and 216, that added together give a triangular number (435 = T₂₉).

The spelling of 219216 in words is "two hundred nineteen thousand, two hundred sixteen".