205303993 has 2 divisors, whose sum is σ = 205303994. Its totient is φ = 205303992.

The previous prime is 205303961. The next prime is 205304017. The reversal of 205303993 is 399303502.

205303993 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., 187224489 + 18079504 = 13683^2 + 4252^2 .

It is a cyclic number.

It is not a de Polignac number, because 205303993 - 2⁵ = 205303961 is a prime.

It is a super-3 number, since 3×205303993³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (205303913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102651996 + 102651997.

It is an arithmetic number, because the mean of its divisors is an integer number (102651997).

Almost surely, 2^205303993 is an apocalyptic number.

It is an amenable number.

205303993 is a deficient number, since it is larger than the sum of its proper divisors (1).

205303993 is an equidigital number, since it uses as much as digits as its factorization.

205303993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21870, while the sum is 34.

The square root of 205303993 is about 14328.4330266781. The cubic root of 205303993 is about 589.9281661084.

The spelling of 205303993 in words is "two hundred five million, three hundred three thousand, nine hundred ninety-three".