8742753 has 12 divisors (see below), whose sum is σ = 12677028. Its totient is φ = 5806080.

The previous prime is 8742739. The next prime is 8742779. The reversal of 8742753 is 3572478.

It can be written as a sum of positive squares in 2 ways, for example, as 2331729 + 6411024 = 1527^2 + 2532^2 .

It is not a de Polignac number, because 8742753 - 2⁶ = 8742689 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8742353) 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 in 11 ways as a sum of consecutive naturals, for example, 801 + ... + 4257.

It is an arithmetic number, because the mean of its divisors is an integer number (1056419).

Almost surely, 2^8742753 is an apocalyptic number.

It is an amenable number.

8742753 is a deficient number, since it is larger than the sum of its proper divisors (3934275).

8742753 is a wasteful number, since it uses less digits than its factorization.

8742753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3741 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 8742753 is about 2956.8146712298. The cubic root of 8742753 is about 206.0073598401.

The spelling of 8742753 in words is "eight million, seven hundred forty-two thousand, seven hundred fifty-three".