311742 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 99000.

The previous prime is 311737. The next prime is 311743. The reversal of 311742 is 247113.

311742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311743) 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, 1117 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³¹¹⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

311742 is an abundant number, since it is smaller than the sum of its proper divisors (414018).

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

311742 is a wasteful number, since it uses less digits than its factorization.

311742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 311742 is about 558.3386069403. The cubic root of 311742 is about 67.8055285648.

Adding to 311742 its reverse (247113), we get a palindrome (558855).

The spelling of 311742 in words is "three hundred eleven thousand, seven hundred forty-two", and thus it is an iban number.