205223 has 2 divisors, whose sum is σ = 205224. Its totient is φ = 205222.

The previous prime is 205213. The next prime is 205237. The reversal of 205223 is 322502.

205223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (205237) can be obtained adding 205223 to its sum of digits (14).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205198 and 205207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102611 + 102612.

It is an arithmetic number, because the mean of its divisors is an integer number (102612).

2²⁰⁵²²³ is an apocalyptic number.

205223 is a deficient number, since it is larger than the sum of its proper divisors (1).

205223 is an equidigital number, since it uses as much as digits as its factorization.

205223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 205223 is about 453.0154522751. The cubic root of 205223 is about 58.9850579800.

Subtracting from 205223 its sum of digits (14), we obtain a square (205209 = 453²).

Adding to 205223 its reverse (322502), we get a palindrome (527725).

The spelling of 205223 in words is "two hundred five thousand, two hundred twenty-three".