216249 has 8 divisors (see below), whose sum is σ = 314592. Its totient is φ = 131040.

The previous prime is 216233. The next prime is 216259. The reversal of 216249 is 942612.

216249 is nontrivially palindromic in base 13.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 216249 - 2⁴ = 216233 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216249.

It is not an unprimeable number, because it can be changed into a prime (216259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3244 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (39324).

2²¹⁶²⁴⁹ is an apocalyptic number.

It is an amenable number.

216249 is a deficient number, since it is larger than the sum of its proper divisors (98343).

216249 is a wasteful number, since it uses less digits than its factorization.

216249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567.

The product of its digits is 864, while the sum is 24.

The square root of 216249 is about 465.0258057356. The cubic root of 216249 is about 60.0230467019.

Subtracting from 216249 its sum of digits (24), we obtain a square (216225 = 465²).

It can be divided in two parts, 2162 and 49, that added together give a triangular number (2211 = T₆₆).

The spelling of 216249 in words is "two hundred sixteen thousand, two hundred forty-nine".