211116 has 24 divisors (see below), whose sum is σ = 501424. Its totient is φ = 69120.

The previous prime is 211097. The next prime is 211129. The reversal of 211116 is 611112.

It is a happy number.

211116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

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 211116.

It is an unprimeable number.

211116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756 + ... + 996.

2²¹¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

211116 is an abundant number, since it is smaller than the sum of its proper divisors (290308).

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

211116 is a wasteful number, since it uses less digits than its factorization.

211116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 211116 is about 459.4736118647. The cubic root of 211116 is about 59.5443258902.

Adding to 211116 its reverse (611112), we get a palindrome (822228).

It can be divided in two parts, 21 and 1116, that multiplied together give a triangular number (23436 = T₂₁₆).

The spelling of 211116 in words is "two hundred eleven thousand, one hundred sixteen".