205993321 has 2 divisors, whose sum is σ = 205993322. Its totient is φ = 205993320.

The previous prime is 205993283. The next prime is 205993327. The reversal of 205993321 is 123399502.

205993321 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., 201327721 + 4665600 = 14189^2 + 2160^2 .

It is a cyclic number.

It is not a de Polignac number, because 205993321 - 2¹⁵ = 205960553 is a prime.

It is not a weakly prime, because it can be changed into another prime (205993327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102996660 + 102996661.

It is an arithmetic number, because the mean of its divisors is an integer number (102996661).

Almost surely, 2^205993321 is an apocalyptic number.

It is an amenable number.

205993321 is a deficient number, since it is larger than the sum of its proper divisors (1).

205993321 is an equidigital number, since it uses as much as digits as its factorization.

205993321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 205993321 is about 14352.4674185312. The cubic root of 205993321 is about 590.5876754816.

The spelling of 205993321 in words is "two hundred five million, nine hundred ninety-three thousand, three hundred twenty-one".