205714013 has 2 divisors, whose sum is σ = 205714014. Its totient is φ = 205714012.

The previous prime is 205714009. The next prime is 205714049. The reversal of 205714013 is 310417502.

205714013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190798969 + 14915044 = 13813^2 + 3862^2 .

It is a cyclic number.

It is not a de Polignac number, because 205714013 - 2² = 205714009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205714013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205714213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102857006 + 102857007.

It is an arithmetic number, because the mean of its divisors is an integer number (102857007).

Almost surely, 2^205714013 is an apocalyptic number.

It is an amenable number.

205714013 is a deficient number, since it is larger than the sum of its proper divisors (1).

205714013 is an equidigital number, since it uses as much as digits as its factorization.

205714013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 205714013 is about 14342.7338049620. The cubic root of 205714013 is about 590.3206272219.

The spelling of 205714013 in words is "two hundred five million, seven hundred fourteen thousand, thirteen".