8753 has 2 divisors, whose sum is σ = 8754. Its totient is φ = 8752.

The previous prime is 8747. The next prime is 8761. The reversal of 8753 is 3578.

8753 is nontrivially palindromic in base 7.

8753 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 289 = 92^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 8753 - 2⁴ = 8737 is a prime.

8753 is an undulating number in base 7.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8753.

It is not a weakly prime, because it can be changed into another prime (8713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4376 + 4377.

It is an arithmetic number, because the mean of its divisors is an integer number (4377).

2⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

8753 is a deficient number, since it is larger than the sum of its proper divisors (1).

8753 is an equidigital number, since it uses as much as digits as its factorization.

8753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 23.

The square root of 8753 is about 93.5574689696. The cubic root of 8753 is about 20.6087812501.

It can be divided in two parts, 875 and 3, that added together give a palindrome (878).

The spelling of 8753 in words is "eight thousand, seven hundred fifty-three".