6820993 has 2 divisors, whose sum is σ = 6820994. Its totient is φ = 6820992.

The previous prime is 6820991. The next prime is 6820999. The reversal of 6820993 is 3990286.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6723649 + 97344 = 2593^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 6820993 - 2¹ = 6820991 is a prime.

Together with 6820991, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6820991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3410496 + 3410497.

It is an arithmetic number, because the mean of its divisors is an integer number (3410497).

Almost surely, 2^6820993 is an apocalyptic number.

It is an amenable number.

6820993 is a deficient number, since it is larger than the sum of its proper divisors (1).

6820993 is an equidigital number, since it uses as much as digits as its factorization.

6820993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 6820993 is about 2611.7030841962. The cubic root of 6820993 is about 189.6484079575.

The spelling of 6820993 in words is "six million, eight hundred twenty thousand, nine hundred ninety-three".