8653 has 4 divisors (see below), whose sum is σ = 9180. Its totient is φ = 8128.

The previous prime is 8647. The next prime is 8663. The reversal of 8653 is 3568.

8653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6889 + 1764 = 83^2 + 42^2 .

It is a cyclic number.

It is not a de Polignac number, because 8653 - 2¹³ = 461 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 10 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8623) 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 in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (2295).

2⁸⁶⁵³ is an apocalyptic number.

It is an amenable number.

8653 is a deficient number, since it is larger than the sum of its proper divisors (527).

8653 is a wasteful number, since it uses less digits than its factorization.

8653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526.

The product of its digits is 720, while the sum is 22.

The square root of 8653 is about 93.0215028905. The cubic root of 8653 is about 20.5299977247.

Adding to 8653 its reverse (3568), we get a palindrome (12221).

It can be divided in two parts, 865 and 3, that added together give a palindrome (868).

The spelling of 8653 in words is "eight thousand, six hundred fifty-three".