4007 has 2 divisors, whose sum is σ = 4008. Its totient is φ = 4006.

The previous prime is 4003. The next prime is 4013. The reversal of 4007 is 7004.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4007 - 2² = 4003 is a prime.

It is a Chen prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003 + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (2004).

4007 is a deficient number, since it is larger than the sum of its proper divisors (1).

4007 is an equidigital number, since it uses as much as digits as its factorization.

4007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 4007 is about 63.3008688724. The cubic root of 4007 is about 15.8832649628.

Adding to 4007 its reverse (7004), we get a palindrome (11011).

The spelling of 4007 in words is "four thousand, seven", and thus it is an iban number.