6825871 has 16 divisors (see below), whose sum is σ = 7890624. Its totient is φ = 5854464.

The previous prime is 6825829. The next prime is 6825877. The reversal of 6825871 is 1785286.

It is a cyclic number.

It is not a de Polignac number, because 6825871 - 2⁷ = 6825743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

6825871 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6825871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755 + ... + 11371.

It is an arithmetic number, because the mean of its divisors is an integer number (493164).

Almost surely, 2^6825871 is an apocalyptic number.

6825871 is a deficient number, since it is larger than the sum of its proper divisors (1064753).

6825871 is a wasteful number, since it uses less digits than its factorization.

6825871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690.

The product of its digits is 26880, while the sum is 37.

The square root of 6825871 is about 2612.6367906772. The cubic root of 6825871 is about 189.6936058973.

The spelling of 6825871 in words is "six million, eight hundred twenty-five thousand, eight hundred seventy-one".