4005825 has 12 divisors (see below), whose sum is σ = 6623088. Its totient is φ = 2136400.

The previous prime is 4005821. The next prime is 4005839. The reversal of 4005825 is 5285004.

It is not a de Polignac number, because 4005825 - 2² = 4005821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4005795 and 4005804.

It is not an unprimeable number, because it can be changed into a prime (4005821) 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 11 ways as a sum of consecutive naturals, for example, 26631 + ... + 26780.

It is an arithmetic number, because the mean of its divisors is an integer number (551924).

Almost surely, 2^4005825 is an apocalyptic number.

It is an amenable number.

4005825 is a deficient number, since it is larger than the sum of its proper divisors (2617263).

4005825 is a wasteful number, since it uses less digits than its factorization.

4005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53424 (or 53419 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4005825 is about 2001.4557202197. The cubic root of 4005825 is about 158.8171229160.

The spelling of 4005825 in words is "four million, five thousand, eight hundred twenty-five".