216112 has 20 divisors (see below), whose sum is σ = 451360. Its totient is φ = 99648.

The previous prime is 216107. The next prime is 216113. The reversal of 216112 is 211612.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 216092 and 216101.

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

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, 312 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2²¹⁶¹¹² is an apocalyptic number.

It is an amenable number.

216112 is an abundant number, since it is smaller than the sum of its proper divisors (235248).

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

216112 is a wasteful number, since it uses less digits than its factorization.

216112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 216112 is about 464.8784787447. The cubic root of 216112 is about 60.0103685785.

Adding to 216112 its reverse (211612), we get a palindrome (427724).

The spelling of 216112 in words is "two hundred sixteen thousand, one hundred twelve".