311976 has 48 divisors (see below), whose sum is σ = 967200. Its totient is φ = 88992.

The previous prime is 311963. The next prime is 311981. The reversal of 311976 is 679113.

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

It is an unprimeable number.

311976 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (20150).

2³¹¹⁹⁷⁶ is an apocalyptic number.

311976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483600).

311976 is an abundant number, since it is smaller than the sum of its proper divisors (655224).

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

311976 is a wasteful number, since it uses less digits than its factorization.

311976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 311976 is about 558.5481178914. The cubic root of 311976 is about 67.8224897329.

The spelling of 311976 in words is "three hundred eleven thousand, nine hundred seventy-six".