216315 has 48 divisors (see below), whose sum is σ = 449280. Its totient is φ = 95040.

The previous prime is 216289. The next prime is 216317. The reversal of 216315 is 513612.

It is not a de Polignac number, because 216315 - 2¹⁴ = 199931 is a prime.

216315 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (216317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9394 + ... + 9416.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2²¹⁶³¹⁵ is an apocalyptic number.

216315 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

216315 is a wasteful number, since it uses less digits than its factorization.

216315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 216315 is about 465.0967641255. The cubic root of 216315 is about 60.0291524999.

Adding to 216315 its reverse (513612), we get a palindrome (729927).

It can be divided in two parts, 21 and 6315, that added together give a palindrome (6336).

The spelling of 216315 in words is "two hundred sixteen thousand, three hundred fifteen".