10000067 has 12 divisors (see below), whose sum is σ = 12690936. Its totient is φ = 7791840.

The previous prime is 10000019. The next prime is 10000079. The reversal of 10000067 is 76000001.

It is a happy number.

It is not a de Polignac number, because 10000067 - 2¹² = 9995971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000667) 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 in 11 ways as a sum of consecutive naturals, for example, 8738 + ... + 9815.

It is an arithmetic number, because the mean of its divisors is an integer number (1057578).

Almost surely, 2^10000067 is an apocalyptic number.

10000067 is a deficient number, since it is larger than the sum of its proper divisors (2690869).

10000067 is a wasteful number, since it uses less digits than its factorization.

10000067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578 (or 18571 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 10000067 is about 3162.2882537808. The cubic root of 10000067 is about 215.4439501592.

Adding to 10000067 its reverse (76000001), we get a palindrome (86000068).

The spelling of 10000067 in words is "ten million, sixty-seven", and thus it is an aban number and an uban number.