8732993 has 2 divisors, whose sum is σ = 8732994. Its totient is φ = 8732992.

The previous prime is 8732963. The next prime is 8733001. The reversal of 8732993 is 3992378.

8732993 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., 8254129 + 478864 = 2873^2 + 692^2 .

It is a cyclic number.

It is not a de Polignac number, because 8732993 - 2¹² = 8728897 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 8732993.

It is not a weakly prime, because it can be changed into another prime (8732923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4366496 + 4366497.

It is an arithmetic number, because the mean of its divisors is an integer number (4366497).

Almost surely, 2^8732993 is an apocalyptic number.

It is an amenable number.

8732993 is a deficient number, since it is larger than the sum of its proper divisors (1).

8732993 is an equidigital number, since it uses as much as digits as its factorization.

8732993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 41.

The square root of 8732993 is about 2955.1637856471. The cubic root of 8732993 is about 205.9306723067.

The spelling of 8732993 in words is "eight million, seven hundred thirty-two thousand, nine hundred ninety-three".