205897841 has 2 divisors, whose sum is σ = 205897842. Its totient is φ = 205897840.

The previous prime is 205897831. The next prime is 205897847. The reversal of 205897841 is 148798502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205320241 + 577600 = 14329^2 + 760^2 .

It is a cyclic number.

It is not a de Polignac number, because 205897841 - 2¹⁴ = 205881457 is a prime.

It is a super-2 number, since 2×205897841² = 84787841856922562, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 205897792 and 205897801.

It is not a weakly prime, because it can be changed into another prime (205897847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102948920 + 102948921.

It is an arithmetic number, because the mean of its divisors is an integer number (102948921).

Almost surely, 2^205897841 is an apocalyptic number.

It is an amenable number.

205897841 is a deficient number, since it is larger than the sum of its proper divisors (1).

205897841 is an equidigital number, since it uses as much as digits as its factorization.

205897841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 205897841 is about 14349.1407756702. The cubic root of 205897841 is about 590.4964135812.

It can be divided in two parts, 2058 and 97841, that added together give a palindrome (99899).

The spelling of 205897841 in words is "two hundred five million, eight hundred ninety-seven thousand, eight hundred forty-one".