314216 has 32 divisors (see below), whose sum is σ = 698880. Its totient is φ = 129600.

The previous prime is 314213. The next prime is 314219. The reversal of 314216 is 612413.

It is an interprime number because it is at equal distance from previous prime (314213) and next prime (314219).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 314194 and 314203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314216.

It is not an unprimeable number, because it can be changed into a prime (314213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2³¹⁴²¹⁶ 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 314216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440).

314216 is an abundant number, since it is smaller than the sum of its proper divisors (384664).

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

314216 is a wasteful number, since it uses less digits than its factorization.

314216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 314216 is about 560.5497301757. The cubic root of 314216 is about 67.9844254989.

Adding to 314216 its reverse (612413), we get a palindrome (926629).

The spelling of 314216 in words is "three hundred fourteen thousand, two hundred sixteen".