9975733 has 2 divisors, whose sum is σ = 9975734. Its totient is φ = 9975732.

The previous prime is 9975727. The next prime is 9975737. The reversal of 9975733 is 3375799.

9975733 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8898289 + 1077444 = 2983^2 + 1038^2 .

It is a cyclic number.

It is not a de Polignac number, because 9975733 - 2¹⁷ = 9844661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9975733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9975737) 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, 4987866 + 4987867.

It is an arithmetic number, because the mean of its divisors is an integer number (4987867).

Almost surely, 2^9975733 is an apocalyptic number.

It is an amenable number.

9975733 is a deficient number, since it is larger than the sum of its proper divisors (1).

9975733 is an equidigital number, since it uses as much as digits as its factorization.

9975733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 178605, while the sum is 43.

The square root of 9975733 is about 3158.4383799593. The cubic root of 9975733 is about 215.2690556220.

The spelling of 9975733 in words is "nine million, nine hundred seventy-five thousand, seven hundred thirty-three".