214116 has 24 divisors (see below), whose sum is σ = 571200. Its totient is φ = 61152.

The previous prime is 214091. The next prime is 214129. The reversal of 214116 is 611412.

214116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214116² = 91691322912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214095 and 214104.

It is an unprimeable number.

214116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1191 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (23800).

2²¹⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

214116 is an abundant number, since it is smaller than the sum of its proper divisors (357084).

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

214116 is a wasteful number, since it uses less digits than its factorization.

214116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2561 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 214116 is about 462.7267011963. The cubic root of 214116 is about 59.8250459025.

Adding to 214116 its reverse (611412), we get a palindrome (825528).

It can be divided in two parts, 21 and 4116, that multiplied together give a square (86436 = 294²).

The spelling of 214116 in words is "two hundred fourteen thousand, one hundred sixteen".