8652 has 24 divisors (see below), whose sum is σ = 23296. Its totient is φ = 2448.

The previous prime is 8647. The next prime is 8663. The reversal of 8652 is 2568.

It is a happy number.

8652 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8652.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 135.

2⁸⁶⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648).

8652 is an abundant number, since it is smaller than the sum of its proper divisors (14644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8652 is a wasteful number, since it uses less digits than its factorization.

8652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 8652 is about 93.0161276339. The cubic root of 8652 is about 20.5292068318.

Subtracting from 8652 its reverse (2568), we obtain a square (6084 = 78²).

The spelling of 8652 in words is "eight thousand, six hundred fifty-two".