6828821 has 2 divisors, whose sum is σ = 6828822. Its totient is φ = 6828820.

The previous prime is 6828779. The next prime is 6828827. The reversal of 6828821 is 1288286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4363921 + 2464900 = 2089^2 + 1570^2 .

It is a cyclic number.

It is not a de Polignac number, because 6828821 - 2¹⁰ = 6827797 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6828827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3414410 + 3414411.

It is an arithmetic number, because the mean of its divisors is an integer number (3414411).

Almost surely, 2^6828821 is an apocalyptic number.

It is an amenable number.

6828821 is a deficient number, since it is larger than the sum of its proper divisors (1).

6828821 is an equidigital number, since it uses as much as digits as its factorization.

6828821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12288, while the sum is 35.

The square root of 6828821 is about 2613.2012934330. The cubic root of 6828821 is about 189.7209291767.

The spelling of 6828821 in words is "six million, eight hundred twenty-eight thousand, eight hundred twenty-one".