820607597 has 2 divisors, whose sum is σ = 820607598. Its totient is φ = 820607596.

The previous prime is 820607591. The next prime is 820607617. The reversal of 820607597 is 795706028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 606833956 + 213773641 = 24634^2 + 14621^2 .

It is a cyclic number.

It is not a de Polignac number, because 820607597 - 2⁴ = 820607581 is a prime.

It is a super-2 number, since 2×820607597² = 1346793656508228818, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820607591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410303798 + 410303799.

It is an arithmetic number, because the mean of its divisors is an integer number (410303799).

Almost surely, 2^820607597 is an apocalyptic number.

It is an amenable number.

820607597 is a deficient number, since it is larger than the sum of its proper divisors (1).

820607597 is an equidigital number, since it uses as much as digits as its factorization.

820607597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 820607597 is about 28646.2492658289. The cubic root of 820607597 is about 936.2212860571.

The spelling of 820607597 in words is "eight hundred twenty million, six hundred seven thousand, five hundred ninety-seven".