8385125 has 36 divisors (see below), whose sum is σ = 12511044. Its totient is φ = 5594400.

The previous prime is 8385119. The next prime is 8385161. The reversal of 8385125 is 5215838.

8385125 = T₃₀₂ + T₃₀₃ + ... + T₄₂₆.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 188356 + 8196769 = 434^2 + 2863^2 .

It is not a de Polignac number, because 8385125 - 2⁴ = 8385109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8385091 and 8385100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226607 + ... + 226643.

It is an arithmetic number, because the mean of its divisors is an integer number (347529).

Almost surely, 2^8385125 is an apocalyptic number.

It is an amenable number.

8385125 is a deficient number, since it is larger than the sum of its proper divisors (4125919).

8385125 is an equidigital number, since it uses as much as digits as its factorization.

8385125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 49 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 8385125 is about 2895.7080308622. The cubic root of 8385125 is about 203.1592092285.

The spelling of 8385125 in words is "eight million, three hundred eighty-five thousand, one hundred twenty-five".