10007867 has 2 divisors, whose sum is σ = 10007868. Its totient is φ = 10007866.

The previous prime is 10007839. The next prime is 10007869. The reversal of 10007867 is 76870001.

10007867 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10007867 is a prime.

Together with 10007869, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₆₆₅₀₆₆ and since 10007867 and 665066 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10007869) 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, 5003933 + 5003934.

It is an arithmetic number, because the mean of its divisors is an integer number (5003934).

Almost surely, 2^10007867 is an apocalyptic number.

10007867 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007867 is an equidigital number, since it uses as much as digits as its factorization.

10007867 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 10007867 is about 3163.5212975417. The cubic root of 10007867 is about 215.4999506534.

Adding to 10007867 its reverse (76870001), we get a palindrome (86877868).

The spelling of 10007867 in words is "ten million, seven thousand, eight hundred sixty-seven".