8645 has 16 divisors (see below), whose sum is σ = 13440. Its totient is φ = 5184.

The previous prime is 8641. The next prime is 8647. The reversal of 8645 is 5468.

8645 is nontrivially palindromic in base 12.

It is a cyclic number.

It is not a de Polignac number, because 8645 - 2² = 8641 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁸⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

8645 is a deficient number, since it is larger than the sum of its proper divisors (4795).

8645 is a wasteful number, since it uses less digits than its factorization.

8645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44.

The product of its digits is 960, while the sum is 23.

The square root of 8645 is about 92.9784921366. The cubic root of 8645 is about 20.5236688745.

Adding to 8645 its sum of digits (23), we get a palindrome (8668).

It can be divided in two parts, 86 and 45, that added together give a palindrome (131).

The spelling of 8645 in words is "eight thousand, six hundred forty-five".