9728753 has 2 divisors, whose sum is σ = 9728754. Its totient is φ = 9728752.

The previous prime is 9728737. The next prime is 9728759. The reversal of 9728753 is 3578279.

9728753 is digitally balanced in base 2, 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., 5161984 + 4566769 = 2272^2 + 2137^2 .

It is a cyclic number.

It is not a de Polignac number, because 9728753 - 2⁴ = 9728737 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9728753.

It is not a weakly prime, because it can be changed into another prime (9728759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4864376 + 4864377.

It is an arithmetic number, because the mean of its divisors is an integer number (4864377).

Almost surely, 2^9728753 is an apocalyptic number.

It is an amenable number.

9728753 is a deficient number, since it is larger than the sum of its proper divisors (1).

9728753 is an equidigital number, since it uses as much as digits as its factorization.

9728753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 41.

The square root of 9728753 is about 3119.0949007685. The cubic root of 9728753 is about 213.4776397229.

The spelling of 9728753 in words is "nine million, seven hundred twenty-eight thousand, seven hundred fifty-three".