15882 has 8 divisors (see below), whose sum is σ = 31776. Its totient is φ = 5292.

The previous prime is 15881. The next prime is 15887. The reversal of 15882 is 28851.

15882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

15882 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 1 + 5⁶ + 8² + 8² + 2⁷ .

It is not an unprimeable number, because it can be changed into a prime (15881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1318 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (3972).

2¹⁵⁸⁸² is an apocalyptic number.

15882 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (15888).

15882 is a wasteful number, since it uses less digits than its factorization.

15882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652.

The product of its digits is 640, while the sum is 24.

The square root of 15882 is about 126.0238072747. The cubic root of 15882 is about 25.1363219684.

The spelling of 15882 in words is "fifteen thousand, eight hundred eighty-two".