311272 has 32 divisors (see below), whose sum is σ = 652680. Its totient is φ = 138240.

The previous prime is 311237. The next prime is 311279. The reversal of 311272 is 272113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 139876 + 171396 = 374^2 + 414^2 .

It is not an unprimeable number, because it can be changed into a prime (311279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4228 + ... + 4300.

2³¹¹²⁷² 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 311272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326340).

311272 is an abundant number, since it is smaller than the sum of its proper divisors (341408).

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

311272 is a wasteful number, since it uses less digits than its factorization.

311272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 311272 is about 557.9175566336. The cubic root of 311272 is about 67.7714355995.

Adding to 311272 its reverse (272113), we get a palindrome (583385).

The spelling of 311272 in words is "three hundred eleven thousand, two hundred seventy-two", and thus it is an iban number.