311916 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 88320.

The previous prime is 311897. The next prime is 311951. The reversal of 311916 is 619113.

311916 = T₁₈₃ + T₁₈₄ + ... + T₁₉₉.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311892 and 311901.

It is an unprimeable number.

311916 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 in 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³¹¹⁹¹⁶ 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 311916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

311916 is an abundant number, since it is smaller than the sum of its proper divisors (534804).

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

311916 is a wasteful number, since it uses less digits than its factorization.

311916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 162, while the sum is 21.

The square root of 311916 is about 558.4944046273. The cubic root of 311916 is about 67.8181415242.

The spelling of 311916 in words is "three hundred eleven thousand, nine hundred sixteen".