10002067 has 2 divisors, whose sum is σ = 10002068. Its totient is φ = 10002066.

The previous prime is 10002061. The next prime is 10002077. The reversal of 10002067 is 76020001.

10002067 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10002067 - 2³ = 10002059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002067.

It is not a weakly prime, because it can be changed into another prime (10002061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001033 + 5001034.

It is an arithmetic number, because the mean of its divisors is an integer number (5001034).

Almost surely, 2^10002067 is an apocalyptic number.

10002067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002067 is an equidigital number, since it uses as much as digits as its factorization.

10002067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10002067 is about 3162.6044646778. The cubic root of 10002067 is about 215.4583120356.

Adding to 10002067 its reverse (76020001), we get a palindrome (86022068).

The spelling of 10002067 in words is "ten million, two thousand, sixty-seven".