12827 has 4 divisors (see below), whose sum is σ = 13056. Its totient is φ = 12600.

The previous prime is 12823. The next prime is 12829. The reversal of 12827 is 72821.

12827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 12827 - 2² = 12823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12799 and 12808.

It is not an unprimeable number, because it can be changed into a prime (12821) 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, 38 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (3264).

2¹²⁸²⁷ is an apocalyptic number.

12827 is a deficient number, since it is larger than the sum of its proper divisors (229).

12827 is a wasteful number, since it uses less digits than its factorization.

12827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its digits is 224, while the sum is 20.

The square root of 12827 is about 113.2563464005. The cubic root of 12827 is about 23.4085779543.

The spelling of 12827 in words is "twelve thousand, eight hundred twenty-seven".