205493 has 2 divisors, whose sum is σ = 205494. Its totient is φ = 205492.

The previous prime is 205487. The next prime is 205507. The reversal of 205493 is 394502.

205493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158404 + 47089 = 398^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 205493 - 2⁴ = 205477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102746 + 102747.

It is an arithmetic number, because the mean of its divisors is an integer number (102747).

2²⁰⁵⁴⁹³ is an apocalyptic number.

It is an amenable number.

205493 is a deficient number, since it is larger than the sum of its proper divisors (1).

205493 is an equidigital number, since it uses as much as digits as its factorization.

205493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 205493 is about 453.3133574030. The cubic root of 205493 is about 59.0109143842.

Adding to 205493 its reverse (394502), we get a palindrome (599995).

The spelling of 205493 in words is "two hundred five thousand, four hundred ninety-three".