12884 has 6 divisors (see below), whose sum is σ = 22554. Its totient is φ = 6440.

The previous prime is 12853. The next prime is 12889. The reversal of 12884 is 48821.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 784 = 110^2 + 28^2 .

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 (12889) by changing a digit.

12884 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 as a sum of consecutive naturals, namely, 1607 + ... + 1614.

It is an arithmetic number, because the mean of its divisors is an integer number (3759).

2¹²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

12884 is a deficient number, since it is larger than the sum of its proper divisors (9670).

12884 is a wasteful number, since it uses less digits than its factorization.

12884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3223 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 12884 is about 113.5077089893. The cubic root of 12884 is about 23.4432006874.

Subtracting 12884 from its reverse (48821), we obtain a cube (35937 = 33³).

It can be divided in two parts, 128 and 84, that added together give a palindrome (212).

The spelling of 12884 in words is "twelve thousand, eight hundred eighty-four".