205225 has 6 divisors (see below), whose sum is σ = 254510. Its totient is φ = 164160.

The previous prime is 205223. The next prime is 205237. The reversal of 205225 is 522502.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 205209 = 4^2 + 453^2 .

It is not a de Polignac number, because 205225 - 2¹ = 205223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205199 and 205208.

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 5 ways as a sum of consecutive naturals, for example, 4080 + ... + 4129.

2²⁰⁵²²⁵ is an apocalyptic number.

205225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205225 is a deficient number, since it is larger than the sum of its proper divisors (49285).

205225 is an equidigital number, since it uses as much as digits as its factorization.

205225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8219 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 205225 is about 453.0176596999. The cubic root of 205225 is about 58.9852495923.

Subtracting from 205225 its sum of digits (16), we obtain a square (205209 = 453²).

Adding to 205225 its reverse (522502), we get a palindrome (727727).

The spelling of 205225 in words is "two hundred five thousand, two hundred twenty-five".