9975643 has 2 divisors, whose sum is σ = 9975644. Its totient is φ = 9975642.

The previous prime is 9975631. The next prime is 9975683. The reversal of 9975643 is 3465799.

It is a weak prime.

It is an emirp because it is prime and its reverse (3465799) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9975643 - 2⁹ = 9975131 is a prime.

It is a d-powerful number, because it can be written as 9 + 9⁴ + 7⁸ + 5 + 6⁵ + 4¹¹ + 3⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 9975643.

It is not a weakly prime, because it can be changed into another prime (9975683) 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, 4987821 + 4987822.

It is an arithmetic number, because the mean of its divisors is an integer number (4987822).

Almost surely, 2^9975643 is an apocalyptic number.

9975643 is a deficient number, since it is larger than the sum of its proper divisors (1).

9975643 is an equidigital number, since it uses as much as digits as its factorization.

9975643 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 43.

The square root of 9975643 is about 3158.4241323799. The cubic root of 9975643 is about 215.2684082418.

It can be divided in two parts, 99756 and 43, that added together give a palindrome (99799).

The spelling of 9975643 in words is "nine million, nine hundred seventy-five thousand, six hundred forty-three".