10000967 has 2 divisors, whose sum is σ = 10000968. Its totient is φ = 10000966.

The previous prime is 10000961. The next prime is 10000987. The reversal of 10000967 is 76900001.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (76900001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000967 - 2¹⁰ = 9999943 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000483 + 5000484.

It is an arithmetic number, because the mean of its divisors is an integer number (5000484).

Almost surely, 2^10000967 is an apocalyptic number.

10000967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000967 is an equidigital number, since it uses as much as digits as its factorization.

10000967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10000967 is about 3162.4305525972. The cubic root of 10000967 is about 215.4504132405.

Adding to 10000967 its reverse (76900001), we get a palindrome (86900968).

The spelling of 10000967 in words is "ten million, nine hundred sixty-seven", and thus it is an aban number.