6825829 has 2 divisors, whose sum is σ = 6825830. Its totient is φ = 6825828.

The previous prime is 6825827. The next prime is 6825877. The reversal of 6825829 is 9285286.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6640929 + 184900 = 2577^2 + 430^2 .

It is a cyclic number.

It is not a de Polignac number, because 6825829 - 2¹ = 6825827 is a prime.

Together with 6825827, it forms a pair of twin primes.

6825829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 6825791 and 6825800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6825827) 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 as a sum of consecutive naturals, namely, 3412914 + 3412915.

It is an arithmetic number, because the mean of its divisors is an integer number (3412915).

Almost surely, 2^6825829 is an apocalyptic number.

It is an amenable number.

6825829 is a deficient number, since it is larger than the sum of its proper divisors (1).

6825829 is an equidigital number, since it uses as much as digits as its factorization.

6825829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 40.

The square root of 6825829 is about 2612.6287528082. The cubic root of 6825829 is about 189.6932168311.

The spelling of 6825829 in words is "six million, eight hundred twenty-five thousand, eight hundred twenty-nine".