311984 has 40 divisors (see below), whose sum is σ = 678528. Its totient is φ = 138240.

The previous prime is 311981. The next prime is 312007. The reversal of 311984 is 489113.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311984.

It is not an unprimeable number, because it can be changed into a prime (311981) 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, 8414 + ... + 8450.

2³¹¹⁹⁸⁴ is an apocalyptic number.

311984 is a gapful number since it is divisible by the number (34) 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 311984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264).

311984 is an abundant number, since it is smaller than the sum of its proper divisors (366544).

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

311984 is a wasteful number, since it uses less digits than its factorization.

311984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 311984 is about 558.5552792697. Note that the first 3 decimals coincide. The cubic root of 311984 is about 67.8230694519.

It can be divided in two parts, 31 and 1984, that multiplied together give a square (61504 = 248²).

The spelling of 311984 in words is "three hundred eleven thousand, nine hundred eighty-four".