4005001 has 16 divisors (see below), whose sum is σ = 5378688. Its totient is φ = 2880000.

The previous prime is 4004989. The next prime is 4005019. The reversal of 4005001 is 1005004.

4005001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 3-Lehmer number, since φ(4005001) divides (4005001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 4005001 - 2⁷ = 4004873 is a prime.

It is a deceptive number, since it divides R_4005000.

It is not an unprimeable number, because it can be changed into a prime (4005091) 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 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 3001.

It is an arithmetic number, because the mean of its divisors is an integer number (336168).

It is a Poulet number, since it divides 2^4005000-1.

Almost surely, 2^4005001 is an apocalyptic number.

4005001 is the 1001-st decagonal number.

It is an amenable number.

4005001 is a deficient number, since it is larger than the sum of its proper divisors (1373687).

4005001 is a wasteful number, since it uses less digits than its factorization.

4005001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4005001 is about 2001.2498594628. The cubic root of 4005001 is about 158.8062325847.

The spelling of 4005001 in words is "four million, five thousand, one".