311372 has 24 divisors (see below), whose sum is σ = 609840. Its totient is φ = 138240.

The previous prime is 311371. The next prime is 311393. The reversal of 311372 is 273113.

311372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 311372.

It is not an unprimeable number, because it can be changed into a prime (311371) 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, 1172 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (25410).

2³¹¹³⁷² is an apocalyptic number.

It is an amenable number.

311372 is a deficient number, since it is larger than the sum of its proper divisors (298468).

311372 is a wasteful number, since it uses less digits than its factorization.

311372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its digits is 126, while the sum is 17.

The square root of 311372 is about 558.0071684127. The cubic root of 311372 is about 67.7786922946.

Adding to 311372 its reverse (273113), we get a palindrome (584485).

The spelling of 311372 in words is "three hundred eleven thousand, three hundred seventy-two", and thus it is an iban number.