9852 has 12 divisors (see below), whose sum is σ = 23016. Its totient is φ = 3280.

The previous prime is 9851. The next prime is 9857. The reversal of 9852 is 2589.

9852 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9852.

It is not an unprimeable number, because it can be changed into a prime (9851) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 399 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (1918).

2⁹⁸⁵² is an apocalyptic number.

It is an amenable number.

9852 is an abundant number, since it is smaller than the sum of its proper divisors (13164).

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 (11508).

9852 is a wasteful number, since it uses less digits than its factorization.

9852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

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

The square root of 9852 is about 99.2572415494. The cubic root of 9852 is about 21.4375327598.

It can be divided in two parts, 9 and 852, that added together give a triangular number (861 = T₄₁).

The spelling of 9852 in words is "nine thousand, eight hundred fifty-two".