205057 has 6 divisors (see below), whose sum is σ = 211862. Its totient is φ = 198432.

The previous prime is 205043. The next prime is 205063. The reversal of 205057 is 750502.

It is a happy number.

205057 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 76176 + 128881 = 276^2 + 359^2 .

It is a de Polignac number, because none of the positive numbers 2^k-205057 is a prime.

It is a Duffinian 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2773 + ... + 2845.

2²⁰⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

205057 is a deficient number, since it is larger than the sum of its proper divisors (6805).

205057 is an frugal number, since it uses more digits than its factorization.

205057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 205057 is about 452.8321985018. The cubic root of 205057 is about 58.9691498202.

Adding to 205057 its reverse (750502), we get a palindrome (955559).

The spelling of 205057 in words is "two hundred five thousand, fifty-seven".