311382 has 12 divisors (see below), whose sum is σ = 674700. Its totient is φ = 103788.

The previous prime is 311371. The next prime is 311393. The reversal of 311382 is 283113.

It is an interprime number because it is at equal distance from previous prime (311371) and next prime (311393).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17299 = 311382 / (3 + 1 + 1 + 3 + 8 + 2).

It is a congruent number.

It is an unprimeable number.

311382 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 5 ways as a sum of consecutive naturals, for example, 8632 + ... + 8667.

It is an arithmetic number, because the mean of its divisors is an integer number (56225).

2³¹¹³⁸² is an apocalyptic number.

311382 is an abundant number, since it is smaller than the sum of its proper divisors (363318).

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

311382 is a wasteful number, since it uses less digits than its factorization.

311382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17307 (or 17304 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 311382 is about 558.0161287992. The cubic root of 311382 is about 67.7794178786.

Subtracting from 311382 its sum of digits (18), we obtain a square (311364 = 558²).

Adding to 311382 its reverse (283113), we get a palindrome (594495).

The spelling of 311382 in words is "three hundred eleven thousand, three hundred eighty-two".