205973969 has 2 divisors, whose sum is σ = 205973970. Its totient is φ = 205973968.

The previous prime is 205973903. The next prime is 205973981. The reversal of 205973969 is 969379502.

205973969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180096400 + 25877569 = 13420^2 + 5087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205973969 is a prime.

It is a super-2 number, since 2×205973969² = 84850551811225922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205973069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102986984 + 102986985.

It is an arithmetic number, because the mean of its divisors is an integer number (102986985).

Almost surely, 2^205973969 is an apocalyptic number.

It is an amenable number.

205973969 is a deficient number, since it is larger than the sum of its proper divisors (1).

205973969 is an equidigital number, since it uses as much as digits as its factorization.

205973969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 918540, while the sum is 50.

The square root of 205973969 is about 14351.7932329030. The cubic root of 205973969 is about 590.5691806901.

The spelling of 205973969 in words is "two hundred five million, nine hundred seventy-three thousand, nine hundred sixty-nine".