214112 has 12 divisors (see below), whose sum is σ = 421596. Its totient is φ = 107040.

The previous prime is 214091. The next prime is 214129. The reversal of 214112 is 211412.

214112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 214093 and 214102.

It is a congruent number.

It is an unprimeable number.

214112 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 as a sum of consecutive naturals, namely, 3314 + ... + 3377.

It is an arithmetic number, because the mean of its divisors is an integer number (35133).

2²¹⁴¹¹² is an apocalyptic number.

It is an amenable number.

214112 is a deficient number, since it is larger than the sum of its proper divisors (207484).

214112 is an equidigital number, since it uses as much as digits as its factorization.

214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6693 counting only the distinct ones).

The product of its digits is 16, while the sum is 11.

The square root of 214112 is about 462.7223789704. The cubic root of 214112 is about 59.8246733604.

Adding to 214112 its reverse (211412), we get a palindrome (425524).

It can be divided in two parts, 2 and 14112, that multiplied together give a square (28224 = 168²).

The spelling of 214112 in words is "two hundred fourteen thousand, one hundred twelve", and thus it is an iban number.