205205969 has 2 divisors, whose sum is σ = 205205970. Its totient is φ = 205205968.

The previous prime is 205205941. The next prime is 205206037. The reversal of 205205969 is 969502502.

205205969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193543744 + 11662225 = 13912^2 + 3415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205205969 is a prime.

It is a super-2 number, since 2×205205969² = 84218979426457922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205205069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102602984 + 102602985.

It is an arithmetic number, because the mean of its divisors is an integer number (102602985).

Almost surely, 2^205205969 is an apocalyptic number.

It is an amenable number.

205205969 is a deficient number, since it is larger than the sum of its proper divisors (1).

205205969 is an equidigital number, since it uses as much as digits as its factorization.

205205969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 205205969 is about 14325.0120069758. The cubic root of 205205969 is about 589.8342625535.

The spelling of 205205969 in words is "two hundred five million, two hundred five thousand, nine hundred sixty-nine".