6827625 has 96 divisors (see below), whose sum is σ = 15325440. Its totient is φ = 2937600.

The previous prime is 6827603. The next prime is 6827629. The reversal of 6827625 is 5267286.

6827625 is a `hidden beast` number, since 6 + 8 + 27 + 625 = 666.

6827625 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 6827625 - 2¹⁰ = 6826601 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6827625.

It is not an unprimeable number, because it can be changed into a prime (6827629) 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 95 ways as a sum of consecutive naturals, for example, 401617 + ... + 401633.

It is an arithmetic number, because the mean of its divisors is an integer number (159640).

Almost surely, 2^6827625 is an apocalyptic number.

It is an amenable number.

6827625 is an abundant number, since it is smaller than the sum of its proper divisors (8497815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6827625 is a wasteful number, since it uses less digits than its factorization.

6827625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 32 counting only the distinct ones).

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

The square root of 6827625 is about 2612.9724453197. The cubic root of 6827625 is about 189.7098526195.

The spelling of 6827625 in words is "six million, eight hundred twenty-seven thousand, six hundred twenty-five".