7967125 has 8 divisors (see below), whose sum is σ = 9943128. Its totient is φ = 6373600.

The previous prime is 7967117. The next prime is 7967143. The reversal of 7967125 is 5217697.

It can be written as a sum of positive squares in 4 ways, for example, as 2477476 + 5489649 = 1574^2 + 2343^2 .

It is not a de Polignac number, because 7967125 - 2³ = 7967117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31744 + ... + 31993.

It is an arithmetic number, because the mean of its divisors is an integer number (1242891).

Almost surely, 2^7967125 is an apocalyptic number.

It is an amenable number.

7967125 is a deficient number, since it is larger than the sum of its proper divisors (1976003).

7967125 is an equidigital number, since it uses as much as digits as its factorization.

7967125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63752 (or 63742 counting only the distinct ones).

The product of its digits is 26460, while the sum is 37.

The square root of 7967125 is about 2822.6096081463. The cubic root of 7967125 is about 199.7256655417.

It can be divided in two parts, 796 and 7125, that added together give a square (7921 = 89²).

The spelling of 7967125 in words is "seven million, nine hundred sixty-seven thousand, one hundred twenty-five".