6825627 has 16 divisors (see below), whose sum is σ = 10240160. Its totient is φ = 4548960.

The previous prime is 6825613. The next prime is 6825629. The reversal of 6825627 is 7265286.

6825627 is a `hidden beast` number, since 6 + 8 + 25 + 627 = 666.

It is not a de Polignac number, because 6825627 - 2¹² = 6821531 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6825591 and 6825600.

It is not an unprimeable number, because it can be changed into a prime (6825629) 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 15 ways as a sum of consecutive naturals, for example, 627 + ... + 3747.

It is an arithmetic number, because the mean of its divisors is an integer number (640010).

Almost surely, 2^6825627 is an apocalyptic number.

6825627 is a deficient number, since it is larger than the sum of its proper divisors (3414533).

6825627 is an frugal number, since it uses more digits than its factorization.

6825627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3124 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6825627 is about 2612.5900941403. The cubic root of 6825627 is about 189.6913455854.

It can be divided in two parts, 6825 and 627, that multiplied together give a triangular number (4279275 = T₂₉₂₅).

The spelling of 6825627 in words is "six million, eight hundred twenty-five thousand, six hundred twenty-seven".