820597 has 2 divisors, whose sum is σ = 820598. Its totient is φ = 820596.

The previous prime is 820577. The next prime is 820609. The reversal of 820597 is 795028.

820597 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 790321 + 30276 = 889^2 + 174^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410298 + 410299.

It is an arithmetic number, because the mean of its divisors is an integer number (410299).

2⁸²⁰⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

820597 is a deficient number, since it is larger than the sum of its proper divisors (1).

820597 is an equidigital number, since it uses as much as digits as its factorization.

820597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 820597 is about 905.8680919428. The cubic root of 820597 is about 93.6217256043.

The spelling of 820597 in words is "eight hundred twenty thousand, five hundred ninety-seven".