314200321 has 12 divisors (see below), whose sum is σ = 334080612. Its totient is φ = 295444224.

The previous prime is 314200303. The next prime is 314200361. The reversal of 314200321 is 123002413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 164480625 + 149719696 = 12825^2 + 12236^2 .

It is not a de Polignac number, because 314200321 - 2¹¹ = 314198273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314200295 and 314200304.

It is not an unprimeable number, because it can be changed into a prime (314200361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46281 + ... + 52633.

It is an arithmetic number, because the mean of its divisors is an integer number (27840051).

Almost surely, 2^314200321 is an apocalyptic number.

It is an amenable number.

314200321 is a deficient number, since it is larger than the sum of its proper divisors (19880291).

314200321 is a wasteful number, since it uses less digits than its factorization.

314200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314200321 is about 17725.6966294699. The cubic root of 314200321 is about 679.8329469975.

Adding to 314200321 its reverse (123002413), we get a palindrome (437202734).

The spelling of 314200321 in words is "three hundred fourteen million, two hundred thousand, three hundred twenty-one".