205742713 has 6 divisors (see below), whose sum is σ = 226147082. Its totient is φ = 187038720.

The previous prime is 205742711. The next prime is 205742737. The reversal of 205742713 is 317247502.

It can be written as a sum of positive squares in only one way, i.e., 195776064 + 9966649 = 13992^2 + 3157^2 .

It is not a de Polignac number, because 205742713 - 2¹ = 205742711 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205742711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 850056 + ... + 850297.

Almost surely, 2^205742713 is an apocalyptic number.

It is an amenable number.

205742713 is a deficient number, since it is larger than the sum of its proper divisors (20404369).

205742713 is a wasteful number, since it uses less digits than its factorization.

205742713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700375 (or 1700364 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 205742713 is about 14343.7342766798. The cubic root of 205742713 is about 590.3480786238.

The spelling of 205742713 in words is "two hundred five million, seven hundred forty-two thousand, seven hundred thirteen".