311872 has 28 divisors (see below), whose sum is σ = 676656. Its totient is φ = 141440.

The previous prime is 311869. The next prime is 311881. The reversal of 311872 is 278113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 483 + ... + 925.

2³¹¹⁸⁷² is an apocalyptic number.

311872 is a gapful number since it is divisible by the number (32) 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 311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338328).

311872 is an abundant number, since it is smaller than the sum of its proper divisors (364784).

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

311872 is a wasteful number, since it uses less digits than its factorization.

311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 311872 is about 558.4550116169. The cubic root of 311872 is about 67.8149524834.

Adding to 311872 its reverse (278113), we get a palindrome (589985).

The spelling of 311872 in words is "three hundred eleven thousand, eight hundred seventy-two".