314320 has 20 divisors (see below), whose sum is σ = 730980. Its totient is φ = 125696.

The previous prime is 314299. The next prime is 314329. The reversal of 314320 is 23413.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 238144 = 276^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 314320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314329) by changing a digit.

314320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1885 + ... + 2044.

It is an arithmetic number, because the mean of its divisors is an integer number (36549).

2³¹⁴³²⁰ is an apocalyptic number.

It is an amenable number.

314320 is an abundant number, since it is smaller than the sum of its proper divisors (416660).

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

314320 is a wasteful number, since it uses less digits than its factorization.

314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 314320 is about 560.6424885790. The cubic root of 314320 is about 67.9919252234.

Adding to 314320 its reverse (23413), we get a palindrome (337733).

The spelling of 314320 in words is "three hundred fourteen thousand, three hundred twenty", and thus it is an iban number.