216117 has 24 divisors (see below), whose sum is σ = 355680. Its totient is φ = 125280.

The previous prime is 216113. The next prime is 216119. The reversal of 216117 is 711612.

216117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216117 - 2² = 216113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 216117.

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 216117.

It is not an unprimeable number, because it can be changed into a prime (216113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634 + ... + 3692.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2²¹⁶¹¹⁷ is an apocalyptic number.

It is an amenable number.

216117 is a deficient number, since it is larger than the sum of its proper divisors (139563).

216117 is a wasteful number, since it uses less digits than its factorization.

216117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 216117 is about 464.8838564631. The cubic root of 216117 is about 60.0108313779.

Adding to 216117 its reverse (711612), we get a palindrome (927729).

It can be divided in two parts, 216 and 117, that added together give a palindrome (333).

The spelling of 216117 in words is "two hundred sixteen thousand, one hundred seventeen".