6829441 has 2 divisors, whose sum is σ = 6829442. Its totient is φ = 6829440.

The previous prime is 6829439. The next prime is 6829447. The reversal of 6829441 is 1449286.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 2163841 = 2160^2 + 1471^2 .

It is a cyclic number.

It is not a de Polignac number, because 6829441 - 2¹ = 6829439 is a prime.

Together with 6829439, it forms a pair of twin primes.

It is equal to p₄₆₅₇₅₇ and since 6829441 and 465757 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 6829397 and 6829406.

It is not a weakly prime, because it can be changed into another prime (6829447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3414720 + 3414721.

It is an arithmetic number, because the mean of its divisors is an integer number (3414721).

Almost surely, 2^6829441 is an apocalyptic number.

It is an amenable number.

6829441 is a deficient number, since it is larger than the sum of its proper divisors (1).

6829441 is an equidigital number, since it uses as much as digits as its factorization.

6829441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 34.

The square root of 6829441 is about 2613.3199191833. The cubic root of 6829441 is about 189.7266706957.

The spelling of 6829441 in words is "six million, eight hundred twenty-nine thousand, four hundred forty-one".