311116 has 24 divisors (see below), whose sum is σ = 608384. Its totient is φ = 138240.

The previous prime is 311111. The next prime is 311123. The reversal of 311116 is 611113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 311096 and 311105.

It is not an unprimeable number, because it can be changed into a prime (311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516 + ... + 1708.

2³¹¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

311116 is a deficient number, since it is larger than the sum of its proper divisors (297268).

311116 is a wasteful number, since it uses less digits than its factorization.

311116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its digits is 18, while the sum is 13.

The square root of 311116 is about 557.7777335104. Note that the first 4 decimals coincide. The cubic root of 311116 is about 67.7601120512.

311116 divided by its sum of digits (13) gives a palindrome (23932).

Adding to 311116 its reverse (611113), we get a palindrome (922229).

It can be divided in two parts, 31 and 1116, that multiplied together give a square (34596 = 186²).

The spelling of 311116 in words is "three hundred eleven thousand, one hundred sixteen".