3116 has 12 divisors (see below), whose sum is σ = 5880. Its totient is φ = 1440.

The previous prime is 3109. The next prime is 3119. The reversal of 3116 is 6113.

3116 is nontrivially palindromic in base 16.

3116 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

3116 is an undulating number in base 9 and base 16.

It is a plaindrome in base 13.

It is a nialpdrome in base 5 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3097 and 3106.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3116.

It is not an unprimeable number, because it can be changed into a prime (3119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (490).

2³¹¹⁶ is an apocalyptic number.

It is an amenable number.

3116 is a deficient number, since it is larger than the sum of its proper divisors (2764).

3116 is a wasteful number, since it uses less digits than its factorization.

3116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its digits is 18, while the sum is 11.

The square root of 3116 is about 55.8211429478. The cubic root of 3116 is about 14.6060399104.

Adding to 3116 its reverse (6113), we get a palindrome (9229).

It can be divided in two parts, 31 and 16, that multiplied together give a triangular number (496 = T₃₁).

The spelling of 3116 in words is "three thousand, one hundred sixteen".