317200 has 60 divisors (see below), whose sum is σ = 834148. Its totient is φ = 115200.

The previous prime is 317197. The next prime is 317209. The reversal of 317200 is 2713.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 204304 = 336^2 + 452^2 .

It is a super-3 number, since 3×317200³ = 95746033344000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5170 + ... + 5230.

2³¹⁷²⁰⁰ 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 317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417074).

317200 is an abundant number, since it is smaller than the sum of its proper divisors (516948).

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

317200 is a wasteful number, since it uses less digits than its factorization.

317200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 317200 is about 563.2051136131. The cubic root of 317200 is about 68.1989559613.

Adding to 317200 its reverse (2713), we get a palindrome (319913).

The spelling of 317200 in words is "three hundred seventeen thousand, two hundred", and thus it is an iban number.