6004005 has 32 divisors (see below), whose sum is σ = 11071488. Its totient is φ = 2721600.

The previous prime is 6004001. The next prime is 6004007. The reversal of 6004005 is 5004006.

It is not a de Polignac number, because 6004005 - 2² = 6004001 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 (6004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22020 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (345984).

Almost surely, 2^6004005 is an apocalyptic number.

It is an amenable number.

6004005 is a deficient number, since it is larger than the sum of its proper divisors (5067483).

6004005 is a wasteful number, since it uses less digits than its factorization.

6004005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497.

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

The square root of 6004005 is about 2450.3071236072. The cubic root of 6004005 is about 181.7524812239.

Subtracting from 6004005 its reverse (5004006), we obtain a palindrome (999999).

The spelling of 6004005 in words is "six million, four thousand, five".