311922 has 48 divisors (see below), whose sum is σ = 768768. Its totient is φ = 90720.

The previous prime is 311897. The next prime is 311951. The reversal of 311922 is 229113.

It is a happy number.

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

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 = 311895 and 311904.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311922.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7233 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (16016).

2³¹¹⁹²² is an apocalyptic number.

It is a pronic number, being equal to 558×559.

It is a practical number, because each smaller number is the sum of distinct divisors of 311922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384384).

311922 is an abundant number, since it is smaller than the sum of its proper divisors (456846).

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

311922 is a wasteful number, since it uses less digits than its factorization.

311922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 311922 is about 558.4997761862. The cubic root of 311922 is about 67.8185763701.

It can be divided in two parts, 31 and 1922, that added together give a triangular number (1953 = T₆₂).

The spelling of 311922 in words is "three hundred eleven thousand, nine hundred twenty-two".