10882 has 4 divisors (see below), whose sum is σ = 16326. Its totient is φ = 5440.

The previous prime is 10867. The next prime is 10883. The reversal of 10882 is 28801.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 28801 = 83 ⋅347.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 2601 = 91^2 + 51^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2719 + ... + 2722.

2¹⁰⁸⁸² is an apocalyptic number.

10882 is a deficient number, since it is larger than the sum of its proper divisors (5444).

10882 is an equidigital number, since it uses as much as digits as its factorization.

10882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10882 is about 104.3168251051. The cubic root of 10882 is about 22.1599907032.

Adding to 10882 its sum of digits (19), we get a palindrome (10901).

It can be divided in two parts, 108 and 82, that added together give a triangular number (190 = T₁₉).

The spelling of 10882 in words is "ten thousand, eight hundred eighty-two".