205685041 has 2 divisors, whose sum is σ = 205685042. Its totient is φ = 205685040.

The previous prime is 205685027. The next prime is 205685059. The reversal of 205685041 is 140586502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159390625 + 46294416 = 12625^2 + 6804^2 .

It is a cyclic number.

It is not a de Polignac number, because 205685041 - 2¹⁷ = 205553969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205684994 and 205685012.

It is not a weakly prime, because it can be changed into another prime (205682041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102842520 + 102842521.

It is an arithmetic number, because the mean of its divisors is an integer number (102842521).

Almost surely, 2^205685041 is an apocalyptic number.

It is an amenable number.

205685041 is a deficient number, since it is larger than the sum of its proper divisors (1).

205685041 is an equidigital number, since it uses as much as digits as its factorization.

205685041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 205685041 is about 14341.7237806339. The cubic root of 205685041 is about 590.2929130636.

The spelling of 205685041 in words is "two hundred five million, six hundred eighty-five thousand, forty-one".