15852 has 12 divisors (see below), whose sum is σ = 37016. Its totient is φ = 5280.

The previous prime is 15823. The next prime is 15859. The reversal of 15852 is 25851.

15852 is nontrivially palindromic in base 11.

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

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15852.

It is not an unprimeable number, because it can be changed into a prime (15859) by changing a digit.

15852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 649 + ... + 672.

2¹⁵⁸⁵² is an apocalyptic number.

15852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15852 is an abundant number, since it is smaller than the sum of its proper divisors (21164).

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 (18508).

15852 is a wasteful number, since it uses less digits than its factorization.

15852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 15852 is about 125.9047258843. The cubic root of 15852 is about 25.1204850678.

Subtracting 15852 from its reverse (25851), we obtain a palindrome (9999).

It can be divided in two parts, 158 and 52, that added together give a triangular number (210 = T₂₀).

The spelling of 15852 in words is "fifteen thousand, eight hundred fifty-two".