820993163 has 2 divisors, whose sum is σ = 820993164. Its totient is φ = 820993162.

The previous prime is 820993141. The next prime is 820993169. The reversal of 820993163 is 361399028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820993163 - 2⁶ = 820993099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820993163.

It is not a weakly prime, because it can be changed into another prime (820993169) 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, 410496581 + 410496582.

It is an arithmetic number, because the mean of its divisors is an integer number (410496582).

Almost surely, 2^820993163 is an apocalyptic number.

820993163 is a deficient number, since it is larger than the sum of its proper divisors (1).

820993163 is an equidigital number, since it uses as much as digits as its factorization.

820993163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 820993163 is about 28652.9782570678. The cubic root of 820993163 is about 936.3678922942.

The spelling of 820993163 in words is "eight hundred twenty million, nine hundred ninety-three thousand, one hundred sixty-three".