205097 has 2 divisors, whose sum is σ = 205098. Its totient is φ = 205096.

The previous prime is 205081. The next prime is 205103. The reversal of 205097 is 790502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 32041 = 416^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 205097 - 2⁴ = 205081 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205297) 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 as a sum of consecutive naturals, namely, 102548 + 102549.

It is an arithmetic number, because the mean of its divisors is an integer number (102549).

2²⁰⁵⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

205097 is a deficient number, since it is larger than the sum of its proper divisors (1).

205097 is an equidigital number, since it uses as much as digits as its factorization.

205097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 205097 is about 452.8763628188. The cubic root of 205097 is about 58.9729838967.

Adding to 205097 its sum of digits (23), we get a triangular number (205120 = T₆₄₀).

Adding to 205097 its reverse (790502), we get a palindrome (995599).

The spelling of 205097 in words is "two hundred five thousand, ninety-seven".