311712 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 97280.

The previous prime is 311711. The next prime is 311713. The reversal of 311712 is 217113.

It is an interprime number because it is at equal distance from previous prime (311711) and next prime (311713).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 311691 and 311700.

It is not an unprimeable number, because it can be changed into a prime (311711) 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, 1537 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2³¹¹⁷¹² is an apocalyptic number.

311712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

311712 is an abundant number, since it is smaller than the sum of its proper divisors (559200).

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

311712 is a wasteful number, since it uses less digits than its factorization.

311712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 311712 is about 558.3117408760. The cubic root of 311712 is about 67.8033534423.

Adding to 311712 its reverse (217113), we get a palindrome (528825).

The spelling of 311712 in words is "three hundred eleven thousand, seven hundred twelve", and thus it is an iban number.