311312 has 10 divisors (see below), whose sum is σ = 603198. Its totient is φ = 155648.

The previous prime is 311303. The next prime is 311323. The reversal of 311312 is 213113.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 15376 = 544^2 + 124^2 .

It is a super-2 number, since 2×311312² = 193830322688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311293 and 311302.

It is an unprimeable number.

311312 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 as a sum of consecutive naturals, namely, 9713 + ... + 9744.

2³¹¹³¹² is an apocalyptic number.

It is an amenable number.

311312 is a deficient number, since it is larger than the sum of its proper divisors (291886).

311312 is a wasteful number, since it uses less digits than its factorization.

311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19465 (or 19459 counting only the distinct ones).

The product of its digits is 18, while the sum is 11.

The square root of 311312 is about 557.9534030723. The cubic root of 311312 is about 67.7743384640.

Adding to 311312 its reverse (213113), we get a palindrome (524425).

It can be divided in two parts, 3113 and 12, that added together give a 5-th power (3125 = 5⁵).

The spelling of 311312 in words is "three hundred eleven thousand, three hundred twelve", and thus it is an iban number.