205210717 has 2 divisors, whose sum is σ = 205210718. Its totient is φ = 205210716.

The previous prime is 205210679. The next prime is 205210727. The reversal of 205210717 is 717012502.

It is a happy number.

205210717 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., 204661636 + 549081 = 14306^2 + 741^2 .

It is a cyclic number.

It is not a de Polignac number, because 205210717 - 2⁷ = 205210589 is a prime.

It is a super-2 number, since 2×205210717² = 84222876743308178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205210691 and 205210700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205210727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102605358 + 102605359.

It is an arithmetic number, because the mean of its divisors is an integer number (102605359).

Almost surely, 2^205210717 is an apocalyptic number.

It is an amenable number.

205210717 is a deficient number, since it is larger than the sum of its proper divisors (1).

205210717 is an equidigital number, since it uses as much as digits as its factorization.

205210717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 205210717 is about 14325.1777301365. The cubic root of 205210717 is about 589.8388116601.

It can be divided in two parts, 2052 and 10717, that added together give a square (12769 = 113²).

The spelling of 205210717 in words is "two hundred five million, two hundred ten thousand, seven hundred seventeen".