4114 has 12 divisors (see below), whose sum is σ = 7182. Its totient is φ = 1760.

The previous prime is 4111. The next prime is 4127.

4114 is nontrivially palindromic in base 10.

4114 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., 3025 + 1089 = 55^2 + 33^2 .

It is a d-powerful number, because it can be written as 4² + 1 + 1 + 4⁶ .

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 4114.

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 (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234 + ... + 250.

4114 is a deficient number, since it is larger than the sum of its proper divisors (3068).

4114 is a wasteful number, since it uses less digits than its factorization.

4114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 30 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 4114 is about 64.1404708433. The cubic root of 4114 is about 16.0234032513.

It can be divided in two parts, 41 and 14, that added together give a palindrome (55).

The spelling of 4114 in words is "four thousand, one hundred fourteen", and thus it is an iban number.