311392 has 24 divisors (see below), whose sum is σ = 632016. Its totient is φ = 150912.

The previous prime is 311371. The next prime is 311393. The reversal of 311392 is 293113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311393) by changing a digit.

311392 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053 + ... + 1315.

It is an arithmetic number, because the mean of its divisors is an integer number (26334).

2³¹¹³⁹² is an apocalyptic number.

311392 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 311392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008).

311392 is an abundant number, since it is smaller than the sum of its proper divisors (320624).

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

311392 is a wasteful number, since it uses less digits than its factorization.

311392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its digits is 162, while the sum is 19.

The square root of 311392 is about 558.0250890417. The cubic root of 311392 is about 67.7801434471.

It can be divided in two parts, 311 and 392, that added together give a triangular number (703 = T₃₇).

The spelling of 311392 in words is "three hundred eleven thousand, three hundred ninety-two".