12852 has 48 divisors (see below), whose sum is σ = 40320. Its totient is φ = 3456.

The previous prime is 12841. The next prime is 12853. The reversal of 12852 is 25821.

12852 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (12853) 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, 748 + ... + 764.

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

2¹²⁸⁵² is an apocalyptic number.

12852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

12852 is the 72-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

12852 is an abundant number, since it is smaller than the sum of its proper divisors (27468).

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

12852 is a wasteful number, since it uses less digits than its factorization.

12852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 29 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12852 is about 113.3666617661. The cubic root of 12852 is about 23.4237759653.

The spelling of 12852 in words is "twelve thousand, eight hundred fifty-two".