205393 has 4 divisors (see below), whose sum is σ = 206388. Its totient is φ = 204400.

The previous prime is 205391. The next prime is 205397. The reversal of 205393 is 393502.

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: 393502 = 2 ⋅196751.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 18769 = 432^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 205393 - 2¹ = 205391 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205391) 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, 58 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2²⁰⁵³⁹³ is an apocalyptic number.

It is an amenable number.

205393 is a deficient number, since it is larger than the sum of its proper divisors (995).

205393 is an equidigital number, since it uses as much as digits as its factorization.

205393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 205393 is about 453.2030450030. The cubic root of 205393 is about 59.0013405805.

Adding to 205393 its reverse (393502), we get a palindrome (598895).

The spelling of 205393 in words is "two hundred five thousand, three hundred ninety-three".