311472 has 80 divisors (see below), whose sum is σ = 1031680. Its totient is φ = 88128.

The previous prime is 311453. The next prime is 311473. The reversal of 311472 is 274113.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311472.

It is not an unprimeable number, because it can be changed into a prime (311473) by changing a digit.

311472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2973 + ... + 3075.

It is an arithmetic number, because the mean of its divisors is an integer number (12896).

311472 is a Friedman number, since it can be written as 3*(47^(2+1)+1), using all its digits and the basic arithmetic operations.

2³¹¹⁴⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515840).

311472 is an abundant number, since it is smaller than the sum of its proper divisors (720208).

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

311472 is a wasteful number, since it uses less digits than its factorization.

311472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

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

The square root of 311472 is about 558.0967658032. The cubic root of 311472 is about 67.7859474361.

Adding to 311472 its reverse (274113), we get a palindrome (585585).

The spelling of 311472 in words is "three hundred eleven thousand, four hundred seventy-two", and thus it is an iban number.