205325 has 12 divisors (see below), whose sum is σ = 261888. Its totient is φ = 159600.

The previous prime is 205319. The next prime is 205327. The reversal of 205325 is 523502.

It is not a de Polignac number, because 205325 - 2⁸ = 205069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205325.

It is not an unprimeable number, because it can be changed into a prime (205327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (21824).

2²⁰⁵³²⁵ is an apocalyptic number.

205325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205325 is a deficient number, since it is larger than the sum of its proper divisors (56563).

205325 is a wasteful number, since it uses less digits than its factorization.

205325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 205325 is about 453.1280172313. The cubic root of 205325 is about 58.9948286188.

Adding to 205325 its reverse (523502), we get a palindrome (728827).

The spelling of 205325 in words is "two hundred five thousand, three hundred twenty-five".