314116 has 24 divisors (see below), whose sum is σ = 614880. Its totient is φ = 140360.

The previous prime is 314113. The next prime is 314117. The reversal of 314116 is 611413.

It is a super-2 number, since 2×314116² = 197337722912, which contains 22 as substring.

Its product of digits (72) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 314116.

It is not an unprimeable number, because it can be changed into a prime (314113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5295 + ... + 5353.

It is an arithmetic number, because the mean of its divisors is an integer number (25620).

2³¹⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

314116 is a deficient number, since it is larger than the sum of its proper divisors (300764).

314116 is a wasteful number, since it uses less digits than its factorization.

314116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 314116 is about 560.4605249257. The cubic root of 314116 is about 67.9772126645.

Adding to 314116 its reverse (611413), we get a palindrome (925529).

The spelling of 314116 in words is "three hundred fourteen thousand, one hundred sixteen".