317328 has 40 divisors (see below), whose sum is σ = 895776. Its totient is φ = 96000.

The previous prime is 317327. The next prime is 317333. The reversal of 317328 is 823713.

317328 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 317298 and 317307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 317328.

It is not an unprimeable number, because it can be changed into a prime (317321) 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, 228 + ... + 828.

2³¹⁷³²⁸ 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 317328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447888).

317328 is an abundant number, since it is smaller than the sum of its proper divisors (578448).

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

317328 is a wasteful number, since it uses less digits than its factorization.

317328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 317328 is about 563.3187374835. The cubic root of 317328 is about 68.2081281896.

It can be divided in two parts, 3 and 17328, that multiplied together give a square (51984 = 228²).

The spelling of 317328 in words is "three hundred seventeen thousand, three hundred twenty-eight".