311416 has 32 divisors (see below), whose sum is σ = 685440. Its totient is φ = 129888.

The previous prime is 311407. The next prime is 311419. The reversal of 311416 is 614113.

It is a self number, because there is not a number n which added to its sum of digits gives 311416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711 + ... + 3793.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2³¹¹⁴¹⁶ 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 311416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

311416 is an abundant number, since it is smaller than the sum of its proper divisors (374024).

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

311416 is a wasteful number, since it uses less digits than its factorization.

311416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 311416 is about 558.0465930368. The cubic root of 311416 is about 67.7818847482.

Adding to 311416 its reverse (614113), we get a palindrome (925529).

It can be divided in two parts, 311 and 416, that added together give a palindrome (727).

The spelling of 311416 in words is "three hundred eleven thousand, four hundred sixteen".