6116 has 12 divisors (see below), whose sum is σ = 11760. Its totient is φ = 2760.

The previous prime is 6113. The next prime is 6121.

6116 is nontrivially palindromic in base 10.

It is a plaindrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 6116.

It is not an unprimeable number, because it can be changed into a prime (6113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (980).

2⁶¹¹⁶ is an apocalyptic number.

It is an amenable number.

6116 is a deficient number, since it is larger than the sum of its proper divisors (5644).

6116 is a wasteful number, since it uses less digits than its factorization.

6116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 6116 is about 78.2048591841. The cubic root of 6116 is about 18.2875625922.

It can be divided in two parts, 61 and 16, that added together give a palindrome (77).

The spelling of 6116 in words is "six thousand, one hundred sixteen".