8008325 has 24 divisors (see below), whose sum is σ = 10973256. Its totient is φ = 5760000.

The previous prime is 8008313. The next prime is 8008327. The reversal of 8008325 is 5238008.

8008325 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 12 ways, for example, as 4318084 + 3690241 = 2078^2 + 1921^2 .

It is not a de Polignac number, because 8008325 - 2¹⁴ = 7991941 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8008294 and 8008303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008327) 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 23 ways as a sum of consecutive naturals, for example, 13025 + ... + 13625.

It is an arithmetic number, because the mean of its divisors is an integer number (457219).

Almost surely, 2^8008325 is an apocalyptic number.

It is an amenable number.

8008325 is a deficient number, since it is larger than the sum of its proper divisors (2964931).

8008325 is a wasteful number, since it uses less digits than its factorization.

8008325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8008325 is about 2829.8984080705. The cubic root of 8008325 is about 200.0693509494.

It can be divided in two parts, 80083 and 25, that added together give a palindrome (80108).

The spelling of 8008325 in words is "eight million, eight thousand, three hundred twenty-five".