4082125 has 24 divisors (see below), whose sum is σ = 5459688. Its totient is φ = 3046400.

The previous prime is 4082123. The next prime is 4082147. The reversal of 4082125 is 5212804.

4082125 = 5² + 6² + ... + 230².

It can be written as a sum of positive squares in 12 ways, for example, as 2996361 + 1085764 = 1731^2 + 1042^2 .

It is not a de Polignac number, because 4082125 - 2¹ = 4082123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4082096 and 4082105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082123) 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 23 ways as a sum of consecutive naturals, for example, 36069 + ... + 36181.

It is an arithmetic number, because the mean of its divisors is an integer number (227487).

Almost surely, 2^4082125 is an apocalyptic number.

It is an amenable number.

4082125 is a deficient number, since it is larger than the sum of its proper divisors (1377563).

4082125 is a wasteful number, since it uses less digits than its factorization.

4082125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4082125 is about 2020.4269350808. The cubic root of 4082125 is about 159.8191315558.

Adding to 4082125 its reverse (5212804), we get a palindrome (9294929).

The spelling of 4082125 in words is "four million, eighty-two thousand, one hundred twenty-five".