311016 has 16 divisors (see below), whose sum is σ = 777600. Its totient is φ = 103664.

The previous prime is 311009. The next prime is 311021. The reversal of 311016 is 610113.

311016 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 310992 and 311010.

It is an unprimeable number.

311016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6456 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2³¹¹⁰¹⁶ is an apocalyptic number.

It is an amenable number.

311016 is an abundant number, since it is smaller than the sum of its proper divisors (466584).

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

311016 is a wasteful number, since it uses less digits than its factorization.

311016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12968 (or 12964 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 311016 is about 557.6880848646. The cubic root of 311016 is about 67.7528513753.

Adding to 311016 its reverse (610113), we get a palindrome (921129).

The spelling of 311016 in words is "three hundred eleven thousand, sixteen".