205093 has 8 divisors (see below), whose sum is σ = 237888. Its totient is φ = 173184.

The previous prime is 205081. The next prime is 205097. The reversal of 205093 is 390502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205093 - 2¹³ = 196901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205097) 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 7 ways as a sum of consecutive naturals, for example, 405 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (29736).

2²⁰⁵⁰⁹³ is an apocalyptic number.

It is an amenable number.

205093 is a deficient number, since it is larger than the sum of its proper divisors (32795).

205093 is an equidigital number, since it uses as much as digits as its factorization.

205093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 205093 is about 452.8719465809. The cubic root of 205093 is about 58.9726005114.

Adding to 205093 its reverse (390502), we get a palindrome (595595).

The spelling of 205093 in words is "two hundred five thousand, ninety-three".