4006005 has 16 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 2095808.

The previous prime is 4006001. The next prime is 4006007. The reversal of 4006005 is 5006004.

4006005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4006005 - 2² = 4006001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006001) 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, 1725 + ... + 3314.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^4006005 is an apocalyptic number.

It is an amenable number.

4006005 is a deficient number, since it is larger than the sum of its proper divisors (2525835).

4006005 is a wasteful number, since it uses less digits than its factorization.

4006005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4006005 is about 2001.5006869846. The cubic root of 4006005 is about 158.8195016731.

Subtracting 4006005 from its reverse (5006004), we obtain a palindrome (999999).

The spelling of 4006005 in words is "four million, six thousand, five".