27852 has 24 divisors (see below), whose sum is σ = 71232. Its totient is φ = 8400.

The previous prime is 27851. The next prime is 27883. The reversal of 27852 is 25872.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (2968).

2²⁷⁸⁵² is an apocalyptic number.

27852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616).

27852 is an abundant number, since it is smaller than the sum of its proper divisors (43380).

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

27852 is a wasteful number, since it uses less digits than its factorization.

27852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 27852 is about 166.8891847904. The cubic root of 27852 is about 30.3122933702.

The spelling of 27852 in words is "twenty-seven thousand, eight hundred fifty-two".