314712216 has 224 divisors, whose sum is σ = 1090726560. Its totient is φ = 82861056.

The previous prime is 314712161. The next prime is 314712239. The reversal of 314712216 is 612217413.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 314712216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530416 + ... + 531008.

It is an arithmetic number, because the mean of its divisors is an integer number (4869315).

Almost surely, 2^314712216 is an apocalyptic number.

314712216 is a gapful number since it is divisible by the number (36) 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 314712216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545363280).

314712216 is an abundant number, since it is smaller than the sum of its proper divisors (776014344).

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

314712216 is a wasteful number, since it uses less digits than its factorization.

314712216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 314712216 is about 17740.1301009885. The cubic root of 314712216 is about 680.2019411765.

Adding to 314712216 its reverse (612217413), we get a palindrome (926929629).

The spelling of 314712216 in words is "three hundred fourteen million, seven hundred twelve thousand, two hundred sixteen".