311316 has 12 divisors (see below), whose sum is σ = 726432. Its totient is φ = 103768.

The previous prime is 311303. The next prime is 311323. The reversal of 311316 is 613113.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 311295 and 311304.

It is a congruent number.

It is an unprimeable number.

311316 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12960 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (60536).

2³¹¹³¹⁶ is an apocalyptic number.

It is an amenable number.

311316 is an abundant number, since it is smaller than the sum of its proper divisors (415116).

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

311316 is a wasteful number, since it uses less digits than its factorization.

311316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25950 (or 25948 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 311316 is about 557.9569875895. The cubic root of 311316 is about 67.7746287368.

Adding to 311316 its reverse (613113), we get a palindrome (924429).

The spelling of 311316 in words is "three hundred eleven thousand, three hundred sixteen".