4002006 has 16 divisors (see below), whose sum is σ = 8114544. Its totient is φ = 1315584.

The previous prime is 4002001. The next prime is 4002013. The reversal of 4002006 is 6002004.

4002006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4001982 and 4002000.

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, 4131 + ... + 5006.

It is an arithmetic number, because the mean of its divisors is an integer number (507159).

Almost surely, 2^4002006 is an apocalyptic number.

4002006 is an abundant number, since it is smaller than the sum of its proper divisors (4112538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002006 is a wasteful number, since it uses less digits than its factorization.

4002006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4002006 is about 2000.5014371402. The cubic root of 4002006 is about 158.7666368164.

The spelling of 4002006 in words is "four million, two thousand, six", and thus it is an eban number.