820008297 has 6 divisors (see below), whose sum is σ = 1184456442. Its totient is φ = 546672192.

The previous prime is 820008281. The next prime is 820008337. The reversal of 820008297 is 792800028.

It can be written as a sum of positive squares in only one way, i.e., 817731216 + 2277081 = 28596^2 + 1509^2 .

It is not a de Polignac number, because 820008297 - 2⁴ = 820008281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820008227) 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 in 5 ways as a sum of consecutive naturals, for example, 45556008 + ... + 45556025.

It is an arithmetic number, because the mean of its divisors is an integer number (197409407).

Almost surely, 2^820008297 is an apocalyptic number.

It is an amenable number.

820008297 is a deficient number, since it is larger than the sum of its proper divisors (364448145).

820008297 is a wasteful number, since it uses less digits than its factorization.

820008297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91112039 (or 91112036 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 820008297 is about 28635.7869980903. The cubic root of 820008297 is about 935.9933191776.

The spelling of 820008297 in words is "eight hundred twenty million, eight thousand, two hundred ninety-seven".