312318 has 12 divisors (see below), whose sum is σ = 676728. Its totient is φ = 104100.

The previous prime is 312313. The next prime is 312331. The reversal of 312318 is 813213.

312318 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17351 = 312318 / (3 + 1 + 2 + 3 + 1 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 312318.

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 312318.

It is not an unprimeable number, because it can be changed into a prime (312311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8658 + ... + 8693.

It is an arithmetic number, because the mean of its divisors is an integer number (56394).

2³¹²³¹⁸ is an apocalyptic number.

312318 is an abundant number, since it is smaller than the sum of its proper divisors (364410).

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

312318 is a wasteful number, since it uses less digits than its factorization.

312318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17359 (or 17356 counting only the distinct ones).

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

The square root of 312318 is about 558.8541849177. The cubic root of 312318 is about 67.8472638830.

It can be divided in two parts, 312 and 318, that added together give a triangular number (630 = T₃₅).

The spelling of 312318 in words is "three hundred twelve thousand, three hundred eighteen".