8638125 has 40 divisors (see below), whose sum is σ = 15295104. Its totient is φ = 4320000.

The previous prime is 8638121. The next prime is 8638139. The reversal of 8638125 is 5218368.

It is a happy number.

It is not a de Polignac number, because 8638125 - 2² = 8638121 is a prime.

8638125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8638121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31740 + ... + 32010.

Almost surely, 2^8638125 is an apocalyptic number.

8638125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8638125 is a deficient number, since it is larger than the sum of its proper divisors (6656979).

8638125 is a wasteful number, since it uses less digits than its factorization.

8638125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 8638125 is about 2939.0687300572. The cubic root of 8638125 is about 205.1822689861.

The spelling of 8638125 in words is "eight million, six hundred thirty-eight thousand, one hundred twenty-five".