313116 has 24 divisors (see below), whose sum is σ = 740880. Its totient is φ = 102912.

The previous prime is 313109. The next prime is 313127. The reversal of 313116 is 611313.

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 = 313095 and 313104.

It is a congruent number.

It is an unprimeable number.

313116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2³¹³¹¹⁶ is an apocalyptic number.

It is an amenable number.

313116 is an abundant number, since it is smaller than the sum of its proper divisors (427764).

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

313116 is a wasteful number, since it uses less digits than its factorization.

313116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

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

The square root of 313116 is about 559.5676902753. The cubic root of 313116 is about 67.9049999825.

Adding to 313116 its reverse (611313), we get a palindrome (924429).

The spelling of 313116 in words is "three hundred thirteen thousand, one hundred sixteen".