205727057 has 2 divisors, whose sum is σ = 205727058. Its totient is φ = 205727056.

The previous prime is 205727033. The next prime is 205727059. The reversal of 205727057 is 750727502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123298816 + 82428241 = 11104^2 + 9079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205727057 is a prime.

Together with 205727059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205727059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102863528 + 102863529.

It is an arithmetic number, because the mean of its divisors is an integer number (102863529).

Almost surely, 2^205727057 is an apocalyptic number.

It is an amenable number.

205727057 is a deficient number, since it is larger than the sum of its proper divisors (1).

205727057 is an equidigital number, since it uses as much as digits as its factorization.

205727057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 205727057 is about 14343.1885227797. The cubic root of 205727057 is about 590.3331040571. Note that the first 3 decimals are identical.

The spelling of 205727057 in words is "two hundred five million, seven hundred twenty-seven thousand, fifty-seven".