6807825 has 36 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 3575520.

The previous prime is 6807821. The next prime is 6807841. The reversal of 6807825 is 5287086.

6807825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6807825 - 2² = 6807821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6807825.

It is not an unprimeable number, because it can be changed into a prime (6807821) 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 35 ways as a sum of consecutive naturals, for example, 17584 + ... + 17966.

Almost surely, 2^6807825 is an apocalyptic number.

It is an amenable number.

6807825 is a deficient number, since it is larger than the sum of its proper divisors (5572335).

6807825 is a wasteful number, since it uses less digits than its factorization.

6807825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6807825 is about 2609.1809059550. The cubic root of 6807825 is about 189.5262899131.

The spelling of 6807825 in words is "six million, eight hundred seven thousand, eight hundred twenty-five".