8952 has 16 divisors (see below), whose sum is σ = 22440. Its totient is φ = 2976.

The previous prime is 8951. The next prime is 8963. The reversal of 8952 is 2598.

8952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 373 = 8952 / (8 + 9 + 5 + 2).

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8951) 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, 163 + ... + 210.

2⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

8952 is an abundant number, since it is smaller than the sum of its proper divisors (13488).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220).

8952 is a wasteful number, since it uses less digits than its factorization.

8952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 8952 is about 94.6150093801. The cubic root of 8952 is about 20.7637930261.

8952 divided by its sum of digits (24) gives a palindrome (373).

It can be divided in two parts, 89 and 52, that added together give a palindrome (141).

The spelling of 8952 in words is "eight thousand, nine hundred fifty-two".