4005875 has 16 divisors (see below), whose sum is σ = 5079360. Its totient is φ = 3153600.

The previous prime is 4005847. The next prime is 4005889. The reversal of 4005875 is 5785004.

It is not a de Polignac number, because 4005875 - 2⁸ = 4005619 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8906 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (317460).

Almost surely, 2^4005875 is an apocalyptic number.

4005875 is a deficient number, since it is larger than the sum of its proper divisors (1073485).

4005875 is an equidigital number, since it uses as much as digits as its factorization.

4005875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 4005875 is about 2001.4682110890. The cubic root of 4005875 is about 158.8177836890.

The spelling of 4005875 in words is "four million, five thousand, eight hundred seventy-five".