4002005 has 8 divisors (see below), whose sum is σ = 5488512. Its totient is φ = 2744208.

The previous prime is 4002001. The next prime is 4002013. The reversal of 4002005 is 5002004.

4002005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4002005 - 2² = 4002001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002001) 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 7 ways as a sum of consecutive naturals, for example, 57137 + ... + 57206.

It is an arithmetic number, because the mean of its divisors is an integer number (686064).

Almost surely, 2^4002005 is an apocalyptic number.

It is an amenable number.

4002005 is a deficient number, since it is larger than the sum of its proper divisors (1486507).

4002005 is a wasteful number, since it uses less digits than its factorization.

4002005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114355.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4002005 is about 2000.5011872028. The cubic root of 4002005 is about 158.7666235924.

Adding to 4002005 its reverse (5002004), we get a palindrome (9004009).

Subtracting 4002005 from its reverse (5002004), we obtain a palindrome (999999).

It can be divided in two parts, 400200 and 5, that multiplied together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 4002005 in words is "four million, two thousand, five".