311814 has 24 divisors (see below), whose sum is σ = 716040. Its totient is φ = 97728.

The previous prime is 311807. The next prime is 311821. The reversal of 311814 is 418113.

311814 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (311807) and next prime (311821).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311814.

It is an unprimeable number.

311814 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 11 ways as a sum of consecutive naturals, for example, 204 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2³¹¹⁸¹⁴ is an apocalyptic number.

311814 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311814 is an abundant number, since it is smaller than the sum of its proper divisors (404226).

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

311814 is a wasteful number, since it uses less digits than its factorization.

311814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1041 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 311814 is about 558.4030802207. The cubic root of 311814 is about 67.8107482895.

Adding to 311814 its reverse (418113), we get a palindrome (729927).

The spelling of 311814 in words is "three hundred eleven thousand, eight hundred fourteen".