205227 has 16 divisors (see below), whose sum is σ = 332160. Its totient is φ = 124200.

The previous prime is 205223. The next prime is 205237. The reversal of 205227 is 722502.

It is a happy number.

205227 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205227 - 2² = 205223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205223) 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, 49 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (20760).

2²⁰⁵²²⁷ is an apocalyptic number.

205227 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

205227 is a deficient number, since it is larger than the sum of its proper divisors (126933).

205227 is a wasteful number, since it uses less digits than its factorization.

205227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205227 is about 453.0198671140. The cubic root of 205227 is about 58.9854412033.

Subtracting from 205227 its sum of digits (18), we obtain a square (205209 = 453²).

Adding to 205227 its reverse (722502), we get a palindrome (927729).

The spelling of 205227 in words is "two hundred five thousand, two hundred twenty-seven".