4112 has 10 divisors (see below), whose sum is σ = 7998. Its totient is φ = 2048.

The previous prime is 4111. The next prime is 4127. The reversal of 4112 is 2114.

4112 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 4096 + 16 = 64^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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.

4112 is an undulating number in base 16.

It is a plaindrome in base 9 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 4112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 4112 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113 + ... + 144.

2⁴¹¹² is an apocalyptic number.

It is an amenable number.

4112 is a deficient number, since it is larger than the sum of its proper divisors (3886).

4112 is a wasteful number, since it uses less digits than its factorization.

4112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its digits is 8, while the sum is 8.

The square root of 4112 is about 64.1248781675. The cubic root of 4112 is about 16.0208062653.

Adding to 4112 its reverse (2114), we get a palindrome (6226).

The spelling of 4112 in words is "four thousand, one hundred twelve", and thus it is an iban number.