317968 has 40 divisors (see below), whose sum is σ = 749952. Its totient is φ = 127488.

The previous prime is 317963. The next prime is 317969. The reversal of 317968 is 869713.

It is a super-2 number, since 2×317968² = 202207298048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317963) by changing a digit.

317968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1821 + ... + 1987.

2³¹⁷⁹⁶⁸ 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 317968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

317968 is an abundant number, since it is smaller than the sum of its proper divisors (431984).

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

317968 is a wasteful number, since it uses less digits than its factorization.

317968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 317968 is about 563.8865134050. The cubic root of 317968 is about 68.2539523712.

It can be divided in two parts, 3 and 17968, that added together give a palindrome (17971).

The spelling of 317968 in words is "three hundred seventeen thousand, nine hundred sixty-eight".