820580617 has 2 divisors, whose sum is σ = 820580618. Its totient is φ = 820580616.

The previous prime is 820580611. The next prime is 820580639. The reversal of 820580617 is 716085028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 730026361 + 90554256 = 27019^2 + 9516^2 .

It is a cyclic number.

It is not a de Polignac number, because 820580617 - 2⁷ = 820580489 is a prime.

It is a super-2 number, since 2×820580617² = 1346705097992201378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (820580611) 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, 410290308 + 410290309.

It is an arithmetic number, because the mean of its divisors is an integer number (410290309).

Almost surely, 2^820580617 is an apocalyptic number.

It is an amenable number.

820580617 is a deficient number, since it is larger than the sum of its proper divisors (1).

820580617 is an equidigital number, since it uses as much as digits as its factorization.

820580617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 820580617 is about 28645.7783451593. The cubic root of 820580617 is about 936.2110255594.

The spelling of 820580617 in words is "eight hundred twenty million, five hundred eighty thousand, six hundred seventeen".