205700993 has 2 divisors, whose sum is σ = 205700994. Its totient is φ = 205700992.

The previous prime is 205700959. The next prime is 205701007. The reversal of 205700993 is 399007502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203718529 + 1982464 = 14273^2 + 1408^2 .

It is a cyclic number.

It is not a de Polignac number, because 205700993 - 2¹⁶ = 205635457 is a prime.

It is not a weakly prime, because it can be changed into another prime (205700923) 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 as a sum of consecutive naturals, namely, 102850496 + 102850497.

It is an arithmetic number, because the mean of its divisors is an integer number (102850497).

Almost surely, 2^205700993 is an apocalyptic number.

It is an amenable number.

205700993 is a deficient number, since it is larger than the sum of its proper divisors (1).

205700993 is an equidigital number, since it uses as much as digits as its factorization.

205700993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 205700993 is about 14342.2799094147. The cubic root of 205700993 is about 590.3081728172.

The spelling of 205700993 in words is "two hundred five million, seven hundred thousand, nine hundred ninety-three".