8004125 has 8 divisors (see below), whose sum is σ = 9989304. Its totient is φ = 6403200.

The previous prime is 8004121. The next prime is 8004133. The reversal of 8004125 is 5214008.

8004125 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 4 ways, for example, as 63001 + 7941124 = 251^2 + 2818^2 .

It is not a de Polignac number, because 8004125 - 2² = 8004121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8004097 and 8004106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004121) 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 7 ways as a sum of consecutive naturals, for example, 31892 + ... + 32141.

It is an arithmetic number, because the mean of its divisors is an integer number (1248663).

Almost surely, 2^8004125 is an apocalyptic number.

It is an amenable number.

8004125 is a deficient number, since it is larger than the sum of its proper divisors (1985179).

8004125 is an equidigital number, since it uses as much as digits as its factorization.

8004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64048 (or 64038 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 8004125 is about 2829.1562346396. The cubic root of 8004125 is about 200.0343690935.

The spelling of 8004125 in words is "eight million, four thousand, one hundred twenty-five".