6821841 has 16 divisors (see below), whose sum is σ = 9853760. Its totient is φ = 4173120.

The previous prime is 6821839. The next prime is 6821851. The reversal of 6821841 is 1481286.

It is not a de Polignac number, because 6821841 - 2¹ = 6821839 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

6821841 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 6821799 and 6821808.

It is not an unprimeable number, because it can be changed into a prime (6821831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7815 + ... + 8643.

It is an arithmetic number, because the mean of its divisors is an integer number (615860).

Almost surely, 2^6821841 is an apocalyptic number.

It is an amenable number.

6821841 is a deficient number, since it is larger than the sum of its proper divisors (3031919).

6821841 is a wasteful number, since it uses less digits than its factorization.

6821841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056.

The product of its digits is 3072, while the sum is 30.

The square root of 6821841 is about 2611.8654253234. The cubic root of 6821841 is about 189.6562667930.

The spelling of 6821841 in words is "six million, eight hundred twenty-one thousand, eight hundred forty-one".