205773973 has 2 divisors, whose sum is σ = 205773974. Its totient is φ = 205773972.

The previous prime is 205773949. The next prime is 205773977. The reversal of 205773973 is 379377502.

205773973 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., 203861284 + 1912689 = 14278^2 + 1383^2 .

It is a cyclic number.

It is not a de Polignac number, because 205773973 - 2¹⁷ = 205642901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205773977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102886986 + 102886987.

It is an arithmetic number, because the mean of its divisors is an integer number (102886987).

Almost surely, 2^205773973 is an apocalyptic number.

It is an amenable number.

205773973 is a deficient number, since it is larger than the sum of its proper divisors (1).

205773973 is an equidigital number, since it uses as much as digits as its factorization.

205773973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 277830, while the sum is 43.

The square root of 205773973 is about 14344.8239096895. The cubic root of 205773973 is about 590.3779757481.

The spelling of 205773973 in words is "two hundred five million, seven hundred seventy-three thousand, nine hundred seventy-three".