7871825 has 24 divisors (see below), whose sum is σ = 10733688. Its totient is φ = 5690880.

The previous prime is 7871821. The next prime is 7871827. The reversal of 7871825 is 5281787.

7871825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1256641 + 6615184 = 1121^2 + 2572^2 .

It is not a de Polignac number, because 7871825 - 2² = 7871821 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7871821) 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 23 ways as a sum of consecutive naturals, for example, 16997 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (447237).

Almost surely, 2^7871825 is an apocalyptic number.

It is an amenable number.

7871825 is a deficient number, since it is larger than the sum of its proper divisors (2861863).

7871825 is a wasteful number, since it uses less digits than its factorization.

7871825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

The product of its digits is 31360, while the sum is 38.

The square root of 7871825 is about 2805.6772800876. The cubic root of 7871825 is about 198.9261192205.

Subtracting from 7871825 its sum of digits (38), we obtain a palindrome (7871787).

The spelling of 7871825 in words is "seven million, eight hundred seventy-one thousand, eight hundred twenty-five".