317952 has 80 divisors (see below), whose sum is σ = 982080. Its totient is φ = 101376.

The previous prime is 317923. The next prime is 317957. The reversal of 317952 is 259713.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

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 317952.

It is not an unprimeable number, because it can be changed into a prime (317957) by changing a digit.

317952 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 7 ways as a sum of consecutive naturals, for example, 13813 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2³¹⁷⁹⁵² is an apocalyptic number.

317952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

317952 is an abundant number, since it is smaller than the sum of its proper divisors (664128).

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

317952 is an equidigital number, since it uses as much as digits as its factorization.

317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 317952 is about 563.8723259746. The cubic root of 317952 is about 68.2528075164.

It can be divided in two parts, 3 and 17952, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 317952 in words is "three hundred seventeen thousand, nine hundred fifty-two".