4005975 has 24 divisors (see below), whose sum is σ = 6840832. Its totient is φ = 2066400.

The previous prime is 4005971. The next prime is 4005977. The reversal of 4005975 is 5795004.

4005975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4005975 - 2² = 4005971 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005971) 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, 1464 + ... + 3186.

Almost surely, 2^4005975 is an apocalyptic number.

4005975 is a deficient number, since it is larger than the sum of its proper divisors (2834857).

4005975 is a wasteful number, since it uses less digits than its factorization.

4005975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 4005975 is about 2001.4931925940. The cubic root of 4005975 is about 158.8191052185.

The spelling of 4005975 in words is "four million, five thousand, nine hundred seventy-five".