205712281 has 2 divisors, whose sum is σ = 205712282. Its totient is φ = 205712280.

The previous prime is 205712237. The next prime is 205712317. The reversal of 205712281 is 182217502.

205712281 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., 194881600 + 10830681 = 13960^2 + 3291^2 .

It is a cyclic number.

It is not a de Polignac number, because 205712281 - 2¹⁹ = 205187993 is a prime.

It is a super-2 number, since 2×205712281² = 84635085108445922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205712081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102856140 + 102856141.

It is an arithmetic number, because the mean of its divisors is an integer number (102856141).

Almost surely, 2^205712281 is an apocalyptic number.

It is an amenable number.

205712281 is a deficient number, since it is larger than the sum of its proper divisors (1).

205712281 is an equidigital number, since it uses as much as digits as its factorization.

205712281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 205712281 is about 14342.6734258296. The cubic root of 205712281 is about 590.3189704911.

Adding to 205712281 its reverse (182217502), we get a palindrome (387929783).

The spelling of 205712281 in words is "two hundred five million, seven hundred twelve thousand, two hundred eighty-one".