10002667 has 2 divisors, whose sum is σ = 10002668. Its totient is φ = 10002666.

The previous prime is 10002661. The next prime is 10002731. The reversal of 10002667 is 76620001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10002667 - 2³ = 10002659 is a prime.

It is a super-2 number, since 2×10002667² = 200106694225778, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10002661) 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, 5001333 + 5001334.

It is an arithmetic number, because the mean of its divisors is an integer number (5001334).

Almost surely, 2^10002667 is an apocalyptic number.

10002667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002667 is an equidigital number, since it uses as much as digits as its factorization.

10002667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 10002667 is about 3162.6993217819. The cubic root of 10002667 is about 215.4626202251.

Adding to 10002667 its reverse (76620001), we get a palindrome (86622668).

The spelling of 10002667 in words is "ten million, two thousand, six hundred sixty-seven".