205235993 has 2 divisors, whose sum is σ = 205235994. Its totient is φ = 205235992.

The previous prime is 205235977. The next prime is 205236133. The reversal of 205235993 is 399532502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163916809 + 41319184 = 12803^2 + 6428^2 .

It is a cyclic number.

It is not a de Polignac number, because 205235993 - 2⁴ = 205235977 is a prime.

It is not a weakly prime, because it can be changed into another prime (205235963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102617996 + 102617997.

It is an arithmetic number, because the mean of its divisors is an integer number (102617997).

Almost surely, 2^205235993 is an apocalyptic number.

It is an amenable number.

205235993 is a deficient number, since it is larger than the sum of its proper divisors (1).

205235993 is an equidigital number, since it uses as much as digits as its factorization.

205235993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 38.

The square root of 205235993 is about 14326.0599258833. The cubic root of 205235993 is about 589.8630276691.

The spelling of 205235993 in words is "two hundred five million, two hundred thirty-five thousand, nine hundred ninety-three".