205193 has 4 divisors (see below), whose sum is σ = 206100. Its totient is φ = 204288.

The previous prime is 205187. The next prime is 205201. The reversal of 205193 is 391502.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 391502 = 2 ⋅195751.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 51529 = 392^2 + 227^2 .

It is a cyclic number.

It is not a de Polignac number, because 205193 - 2⁶ = 205129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205193.

It is not an unprimeable number, because it can be changed into a prime (205103) 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 3 ways as a sum of consecutive naturals, for example, 221 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (51525).

2²⁰⁵¹⁹³ is an apocalyptic number.

It is an amenable number.

205193 is a deficient number, since it is larger than the sum of its proper divisors (907).

205193 is an equidigital number, since it uses as much as digits as its factorization.

205193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 205193 is about 452.9823396116. The cubic root of 205193 is about 58.9821836466.

Adding to 205193 its reverse (391502), we get a palindrome (596695).

The spelling of 205193 in words is "two hundred five thousand, one hundred ninety-three".