8205125 has 16 divisors (see below), whose sum is σ = 10496304. Its totient is φ = 6400000.

The previous prime is 8205121. The next prime is 8205137. The reversal of 8205125 is 5215028.

It can be written as a sum of positive squares in 8 ways, for example, as 2024929 + 6180196 = 1423^2 + 2486^2 .

It is not a de Polignac number, because 8205125 - 2² = 8205121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8205125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205121) 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 15 ways as a sum of consecutive naturals, for example, 4325 + ... + 5925.

It is an arithmetic number, because the mean of its divisors is an integer number (656019).

Almost surely, 2^8205125 is an apocalyptic number.

It is an amenable number.

8205125 is a deficient number, since it is larger than the sum of its proper divisors (2291179).

8205125 is a wasteful number, since it uses less digits than its factorization.

8205125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 8205125 is about 2864.4589366929. The cubic root of 8205125 is about 201.6949698074.

It can be divided in two parts, 820 and 5125, that multiplied together give a square (4202500 = 2050²).

The spelling of 8205125 in words is "eight million, two hundred five thousand, one hundred twenty-five".