506217 has 16 divisors (see below), whose sum is σ = 725760. Its totient is φ = 312912.

The previous prime is 506213. The next prime is 506251. The reversal of 506217 is 712605.

It is not a de Polignac number, because 506217 - 2² = 506213 is a prime.

506217 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 506193 and 506202.

It is not an unprimeable number, because it can be changed into a prime (506213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4678 + ... + 4784.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁵⁰⁶²¹⁷ is an apocalyptic number.

506217 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

506217 is a deficient number, since it is larger than the sum of its proper divisors (219543).

506217 is a wasteful number, since it uses less digits than its factorization.

506217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 506217 is about 711.4892831238. The cubic root of 506217 is about 79.6976609112.

The spelling of 506217 in words is "five hundred six thousand, two hundred seventeen".