314313216 has 320 divisors, whose sum is σ = 1055932416. Its totient is φ = 81100800.

The previous prime is 314313203. The next prime is 314313217. The reversal of 314313216 is 612313413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314313217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7666156 + ... + 7666196.

Almost surely, 2^314313216 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 314313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208).

314313216 is an abundant number, since it is smaller than the sum of its proper divisors (741619200).

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

314313216 is a wasteful number, since it uses less digits than its factorization.

314313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 314313216 is about 17728.8808445429. The cubic root of 314313216 is about 679.9143606106.

Adding to 314313216 its reverse (612313413), we get a palindrome (926626629).

The spelling of 314313216 in words is "three hundred fourteen million, three hundred thirteen thousand, two hundred sixteen".