205066817 has 2 divisors, whose sum is σ = 205066818. Its totient is φ = 205066816.

The previous prime is 205066793. The next prime is 205066837. The reversal of 205066817 is 718660502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186022321 + 19044496 = 13639^2 + 4364^2 .

It is a cyclic number.

It is not a de Polignac number, because 205066817 - 2¹⁶ = 205001281 is a prime.

It is a super-2 number, since 2×205066817² = 84104798869022978, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205066837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102533408 + 102533409.

It is an arithmetic number, because the mean of its divisors is an integer number (102533409).

Almost surely, 2^205066817 is an apocalyptic number.

It is an amenable number.

205066817 is a deficient number, since it is larger than the sum of its proper divisors (1).

205066817 is an equidigital number, since it uses as much as digits as its factorization.

205066817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 205066817 is about 14320.1542240299. The cubic root of 205066817 is about 589.7009084459.

The spelling of 205066817 in words is "two hundred five million, sixty-six thousand, eight hundred seventeen".