8393125 has 20 divisors (see below), whose sum is σ = 11305756. Its totient is φ = 6192000.

The previous prime is 8393111. The next prime is 8393171. The reversal of 8393125 is 5213938.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5673924 + 2719201 = 2382^2 + 1649^2 .

It is not a de Polignac number, because 8393125 - 2⁷ = 8392997 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8 + 3⁷ + 9 + 3⁷ + 1 + 2²³ + 5³ .

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7609 + ... + 8641.

Almost surely, 2^8393125 is an apocalyptic number.

It is an amenable number.

8393125 is a deficient number, since it is larger than the sum of its proper divisors (2912631).

8393125 is a wasteful number, since it uses less digits than its factorization.

8393125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1051 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 8393125 is about 2897.0890562770. The cubic root of 8393125 is about 203.2237980916.

The spelling of 8393125 in words is "eight million, three hundred ninety-three thousand, one hundred twenty-five".