509223 has 16 divisors (see below), whose sum is σ = 798336. Its totient is φ = 284640.

The previous prime is 509221. The next prime is 509227. The reversal of 509223 is 322905.

It is not a de Polignac number, because 509223 - 2¹ = 509221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2⁵⁰⁹²²³ is an apocalyptic number.

509223 is a deficient number, since it is larger than the sum of its proper divisors (289113).

509223 is a wasteful number, since it uses less digits than its factorization.

509223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 509223 is about 713.5986266803. The cubic root of 509223 is about 79.8551023000.

It can be divided in two parts, 5092 and 23, that added together give a palindrome (5115).

The spelling of 509223 in words is "five hundred nine thousand, two hundred twenty-three".