318321 has 12 divisors (see below), whose sum is σ = 465348. Its totient is φ = 209664.

The previous prime is 318319. The next prime is 318323. The reversal of 318321 is 123813.

It is an interprime number because it is at equal distance from previous prime (318319) and next prime (318323).

It can be written as a sum of positive squares in 2 ways, for example, as 3600 + 314721 = 60^2 + 561^2 .

It is not a de Polignac number, because 318321 - 2¹ = 318319 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

318321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 318294 and 318303.

It is not an unprimeable number, because it can be changed into a prime (318323) 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, 861 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (38779).

2³¹⁸³²¹ is an apocalyptic number.

It is an amenable number.

318321 is a deficient number, since it is larger than the sum of its proper divisors (147027).

318321 is a wasteful number, since it uses less digits than its factorization.

318321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 318321 is about 564.1994328250. The cubic root of 318321 is about 68.2792009650.

The spelling of 318321 in words is "three hundred eighteen thousand, three hundred twenty-one".