506317 has 6 divisors (see below), whose sum is σ = 589038. Its totient is φ = 433944.

The previous prime is 506291. The next prime is 506327. The reversal of 506317 is 713605.

It can be written as a sum of positive squares in only one way, i.e., 470596 + 35721 = 686^2 + 189^2 .

It is not a de Polignac number, because 506317 - 2¹¹ = 504269 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5118 + ... + 5215.

It is an arithmetic number, because the mean of its divisors is an integer number (98173).

2⁵⁰⁶³¹⁷ is an apocalyptic number.

It is an amenable number.

506317 is a deficient number, since it is larger than the sum of its proper divisors (82721).

506317 is a wasteful number, since it uses less digits than its factorization.

506317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 506317 is about 711.5595547809. The cubic root of 506317 is about 79.7029084903.

The spelling of 506317 in words is "five hundred six thousand, three hundred seventeen".