317205 has 48 divisors (see below), whose sum is σ = 673920. Its totient is φ = 134784.

The previous prime is 317197. The next prime is 317209. The reversal of 317205 is 502713.

It is not a de Polignac number, because 317205 - 2³ = 317197 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

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 317205.

It is not an unprimeable number, because it can be changed into a prime (317209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5959 + ... + 6011.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2³¹⁷²⁰⁵ is an apocalyptic number.

317205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

317205 is an abundant number, since it is smaller than the sum of its proper divisors (356715).

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

317205 is a wasteful number, since it uses less digits than its factorization.

317205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 317205 is about 563.2095524758. The cubic root of 317205 is about 68.1993142978.

Adding to 317205 its reverse (502713), we get a palindrome (819918).

It can be divided in two parts, 3 and 17205, that multiplied together give a palindrome (51615).

The spelling of 317205 in words is "three hundred seventeen thousand, two hundred five".