4116 has 24 divisors (see below), whose sum is σ = 11200. Its totient is φ = 1176.

The previous prime is 4111. The next prime is 4127. The reversal of 4116 is 6114.

4116 = T₂₈ + T₂₉ + ... + T₃₅.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (24) is a multiple of the sum of its prime divisors (12).

It is a plaindrome in base 15.

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 4116.

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

4116 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 (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 591.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600).

4116 is an abundant number, since it is smaller than the sum of its proper divisors (7084).

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

4116 is a wasteful number, since it uses less digits than its factorization.

4116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 12 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 4116 is about 64.1560597294. The cubic root of 4116 is about 16.0259993957.

4116 divided by its sum of digits (12) gives a palindrome (343).

It can be divided in two parts, 41 and 16, that multiplied together give a palindrome (656).

The spelling of 4116 in words is "four thousand, one hundred sixteen".