5852 has 24 divisors (see below), whose sum is σ = 13440. Its totient is φ = 2160.
The previous prime is 5851. The next prime is 5857. The reversal of 5852 is 2585.
5852 is nontrivially palindromic in base 13.
It is an alternating number because its digits alternate between odd and even.
It is a plaindrome in base 8 and base 12.
It is a nialpdrome in base 11.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5851) 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, 299 + ... + 317.
It is an arithmetic number, because the mean of its divisors is an integer number (560).
25852 is an apocalyptic number.
It is a pronic number, being equal to 76×77.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720).
5852 is an abundant number, since it is smaller than the sum of its proper divisors (7588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5852 is a wasteful number, since it uses less digits than its factorization.
5852 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41 (or 39 counting only the distinct ones).
The product of its digits is 400, while the sum is 20.
The square root of 5852 is about 76.4983659956. The cubic root of 5852 is about 18.0205526554.
Subtracting from 5852 its sum of digits (20), we obtain a cube (5832 = 183).
The spelling of 5852 in words is "five thousand, eight hundred fifty-two".
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