4008007 has 8 divisors (see below), whose sum is σ = 4103936. Its totient is φ = 3913272.

The previous prime is 4008001. The next prime is 4008013. The reversal of 4008007 is 7008004.

It is a happy number.

4008007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4008001) and next prime (4008013).

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 4008007 - 2³ = 4007999 is a prime.

It is a super-2 number, since 2×4008007² = 32128240224098, which contains 22 as substring.

It is a Duffinian number.

4008007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008001) 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, 10738 + ... + 11104.

It is an arithmetic number, because the mean of its divisors is an integer number (512992).

Almost surely, 2^4008007 is an apocalyptic number.

4008007 is a deficient number, since it is larger than the sum of its proper divisors (95929).

4008007 is a wasteful number, since it uses less digits than its factorization.

4008007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4008007 is about 2002.0007492506. Note that the first 3 decimals coincide. The cubic root of 4008007 is about 158.8459539358.

The spelling of 4008007 in words is "four million, eight thousand, seven".