820883993 has 2 divisors, whose sum is σ = 820883994. Its totient is φ = 820883992.

The previous prime is 820883989. The next prime is 820884073. The reversal of 820883993 is 399388028.

It is a happy number.

820883993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 464316304 + 356567689 = 21548^2 + 18883^2 .

It is a cyclic number.

It is not a de Polignac number, because 820883993 - 2² = 820883989 is a prime.

It is not a weakly prime, because it can be changed into another prime (820883963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410441996 + 410441997.

It is an arithmetic number, because the mean of its divisors is an integer number (410441997).

Almost surely, 2^820883993 is an apocalyptic number.

It is an amenable number.

820883993 is a deficient number, since it is larger than the sum of its proper divisors (1).

820883993 is an equidigital number, since it uses as much as digits as its factorization.

820883993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 820883993 is about 28651.0731561664. The cubic root of 820883993 is about 936.3263865429.

The spelling of 820883993 in words is "eight hundred twenty million, eight hundred eighty-three thousand, nine hundred ninety-three".