820064677 has 2 divisors, whose sum is σ = 820064678. Its totient is φ = 820064676.

The previous prime is 820064671. The next prime is 820064723. The reversal of 820064677 is 776460028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 809345601 + 10719076 = 28449^2 + 3274^2 .

It is a cyclic number.

It is not a de Polignac number, because 820064677 - 2⁷ = 820064549 is a prime.

It is a super-2 number, since 2×820064677² = 1345012148926228658, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820064671) 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, 410032338 + 410032339.

It is an arithmetic number, because the mean of its divisors is an integer number (410032339).

Almost surely, 2^820064677 is an apocalyptic number.

It is an amenable number.

820064677 is a deficient number, since it is larger than the sum of its proper divisors (1).

820064677 is an equidigital number, since it uses as much as digits as its factorization.

820064677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 820064677 is about 28636.7714136912. The cubic root of 820064677 is about 936.0147702183.

The spelling of 820064677 in words is "eight hundred twenty million, sixty-four thousand, six hundred seventy-seven".