205157 has 2 divisors, whose sum is σ = 205158. Its totient is φ = 205156.

The previous prime is 205151. The next prime is 205171. The reversal of 205157 is 751502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198916 + 6241 = 446^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 205157 - 2⁴ = 205141 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102578 + 102579.

It is an arithmetic number, because the mean of its divisors is an integer number (102579).

2²⁰⁵¹⁵⁷ is an apocalyptic number.

It is an amenable number.

205157 is a deficient number, since it is larger than the sum of its proper divisors (1).

205157 is an equidigital number, since it uses as much as digits as its factorization.

205157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 205157 is about 452.9426012201. The cubic root of 205157 is about 58.9787340767.

Adding to 205157 its reverse (751502), we get a palindrome (956659).

The spelling of 205157 in words is "two hundred five thousand, one hundred fifty-seven".