10002007 has 2 divisors, whose sum is σ = 10002008. Its totient is φ = 10002006.

The previous prime is 10001963. The next prime is 10002017. The reversal of 10002007 is 70020001.

It is an a-pointer prime, because the next prime (10002017) can be obtained adding 10002007 to its sum of digits (10).

It is a strong prime.

It is an emirp because it is prime and its reverse (70020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002007 - 2²³ = 1613399 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001984 and 10002002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002017) 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 as a sum of consecutive naturals, namely, 5001003 + 5001004.

It is an arithmetic number, because the mean of its divisors is an integer number (5001004).

Almost surely, 2^10002007 is an apocalyptic number.

10002007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002007 is an equidigital number, since it uses as much as digits as its factorization.

10002007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 10002007 is about 3162.5949788109. The cubic root of 10002007 is about 215.4578812071.

Adding to 10002007 its reverse (70020001), we get a palindrome (80022008).

The spelling of 10002007 in words is "ten million, two thousand, seven".