506223 has 8 divisors (see below), whose sum is σ = 750000. Its totient is φ = 337464.

The previous prime is 506213. The next prime is 506251. The reversal of 506223 is 322605.

Added to its reverse (322605) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 506223 - 2⁹ = 505711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506196 and 506205.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9348 + ... + 9401.

It is an arithmetic number, because the mean of its divisors is an integer number (93750).

2⁵⁰⁶²²³ is an apocalyptic number.

506223 is a deficient number, since it is larger than the sum of its proper divisors (243777).

506223 is a wasteful number, since it uses less digits than its factorization.

506223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18758 (or 18752 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 506223 is about 711.4934996189. The cubic root of 506223 is about 79.6979757854.

Adding to 506223 its reverse (322605), we get a palindrome (828828).

It can be divided in two parts, 50622 and 3, that added together give a 4-th power (50625 = 15⁴).

The spelling of 506223 in words is "five hundred six thousand, two hundred twenty-three".