10007 has 2 divisors, whose sum is σ = 10008. Its totient is φ = 10006.

The previous prime is 9973. The next prime is 10009. The reversal of 10007 is 70001.

10007 is nontrivially palindromic in base 7.

It is a strong prime.

It is an emirp because it is prime and its reverse (70001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10007 is a prime.

Together with 10009, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 9976 and 10003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10009) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003 + 5004.

It is an arithmetic number, because the mean of its divisors is an integer number (5004).

2¹⁰⁰⁰⁷ is an apocalyptic number.

10007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007 is an equidigital number, since it uses as much as digits as its factorization.

10007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 10007 is about 100.0349938771. The cubic root of 10007 is about 21.5493727421.

Adding to 10007 its reverse (70001), we get a palindrome (80008).

The spelling of 10007 in words is "ten thousand, seven", and thus it is an iban number.