820065577 has 2 divisors, whose sum is σ = 820065578. Its totient is φ = 820065576.

The previous prime is 820065563. The next prime is 820065607. The reversal of 820065577 is 775560028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 633579241 + 186486336 = 25171^2 + 13656^2 .

It is a cyclic number.

It is not a de Polignac number, because 820065577 - 2¹⁵ = 820032809 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (820065527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410032788 + 410032789.

It is an arithmetic number, because the mean of its divisors is an integer number (410032789).

Almost surely, 2^820065577 is an apocalyptic number.

It is an amenable number.

820065577 is a deficient number, since it is larger than the sum of its proper divisors (1).

820065577 is an equidigital number, since it uses as much as digits as its factorization.

820065577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 820065577 is about 28636.7871277488. The cubic root of 820065577 is about 936.0151126356.

The spelling of 820065577 in words is "eight hundred twenty million, sixty-five thousand, five hundred seventy-seven".