205131977 has 2 divisors, whose sum is σ = 205131978. Its totient is φ = 205131976.

The previous prime is 205131869. The next prime is 205132007. The reversal of 205131977 is 779131502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151388416 + 53743561 = 12304^2 + 7331^2 .

It is a cyclic number.

It is not a de Polignac number, because 205131977 - 2¹⁴ = 205115593 is a prime.

It is not a weakly prime, because it can be changed into another prime (205133977) 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, 102565988 + 102565989.

It is an arithmetic number, because the mean of its divisors is an integer number (102565989).

Almost surely, 2^205131977 is an apocalyptic number.

It is an amenable number.

205131977 is a deficient number, since it is larger than the sum of its proper divisors (1).

205131977 is an equidigital number, since it uses as much as digits as its factorization.

205131977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 205131977 is about 14322.4291584912. The cubic root of 205131977 is about 589.7633610043.

The spelling of 205131977 in words is "two hundred five million, one hundred thirty-one thousand, nine hundred seventy-seven".