6825697 has 2 divisors, whose sum is σ = 6825698. Its totient is φ = 6825696.

The previous prime is 6825683. The next prime is 6825703. The reversal of 6825697 is 7965286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6507601 + 318096 = 2551^2 + 564^2 .

It is a cyclic number.

It is not a de Polignac number, because 6825697 - 2⁷ = 6825569 is a prime.

It is a d-powerful number, because it can be written as 6⁵ + 8⁵ + 2 + 5⁹ + 6⁶ + 9⁷ + 7⁴ .

6825697 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (6825097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3412848 + 3412849.

It is an arithmetic number, because the mean of its divisors is an integer number (3412849).

Almost surely, 2^6825697 is an apocalyptic number.

It is an amenable number.

6825697 is a deficient number, since it is larger than the sum of its proper divisors (1).

6825697 is an equidigital number, since it uses as much as digits as its factorization.

6825697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 43.

The square root of 6825697 is about 2612.6034907731. The cubic root of 6825697 is about 189.6919940411.

The spelling of 6825697 in words is "six million, eight hundred twenty-five thousand, six hundred ninety-seven".