311982 has 32 divisors (see below), whose sum is σ = 708480. Its totient is φ = 90720.

The previous prime is 311981. The next prime is 312007. The reversal of 311982 is 289113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833 + ... + 1995.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2³¹¹⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354240).

311982 is an abundant number, since it is smaller than the sum of its proper divisors (396498).

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

311982 is a wasteful number, since it uses less digits than its factorization.

311982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 432, while the sum is 24.

The square root of 311982 is about 558.5534889337. The cubic root of 311982 is about 67.8229245231.

The spelling of 311982 in words is "three hundred eleven thousand, nine hundred eighty-two".