205011973 has 2 divisors, whose sum is σ = 205011974. Its totient is φ = 205011972.

The previous prime is 205011967. The next prime is 205011977. The reversal of 205011973 is 379110502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126742564 + 78269409 = 11258^2 + 8847^2 .

It is a cyclic number.

It is not a de Polignac number, because 205011973 - 2⁵ = 205011941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205011977) 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, 102505986 + 102505987.

It is an arithmetic number, because the mean of its divisors is an integer number (102505987).

Almost surely, 2^205011973 is an apocalyptic number.

It is an amenable number.

205011973 is a deficient number, since it is larger than the sum of its proper divisors (1).

205011973 is an equidigital number, since it uses as much as digits as its factorization.

205011973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 205011973 is about 14318.2391724681. The cubic root of 205011973 is about 589.6483329964.

The spelling of 205011973 in words is "two hundred five million, eleven thousand, nine hundred seventy-three".