4007007 has 12 divisors (see below), whose sum is σ = 5806944. Its totient is φ = 2662560.

The previous prime is 4006993. The next prime is 4007021. The reversal of 4007007 is 7007004.

It is an interprime number because it is at equal distance from previous prime (4006993) and next prime (4007021).

It is not a de Polignac number, because 4007007 - 2⁷ = 4006879 is a prime.

It is a super-2 number, since 2×4007007² = 32112210196098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007077) 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 11 ways as a sum of consecutive naturals, for example, 3363 + ... + 4395.

It is an arithmetic number, because the mean of its divisors is an integer number (483912).

Almost surely, 2^4007007 is an apocalyptic number.

4007007 is a deficient number, since it is larger than the sum of its proper divisors (1799937).

4007007 is a wasteful number, since it uses less digits than its factorization.

4007007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 4007007 is about 2001.7509835142. The cubic root of 4007007 is about 158.8327421187.

The spelling of 4007007 in words is "four million, seven thousand, seven".