27812 has 12 divisors (see below), whose sum is σ = 51660. Its totient is φ = 13056.

The previous prime is 27809. The next prime is 27817. The reversal of 27812 is 21872.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 4096 = 154^2 + 64^2 .

It is a super-4 number, since 4×27812⁴ = 2393254444887737344, which contains 4444 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27817) 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, 137 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (4305).

2²⁷⁸¹² is an apocalyptic number.

It is an amenable number.

27812 is a deficient number, since it is larger than the sum of its proper divisors (23848).

27812 is a wasteful number, since it uses less digits than its factorization.

27812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

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

The square root of 27812 is about 166.7693017315. The cubic root of 27812 is about 30.2977752908.

The spelling of 27812 in words is "twenty-seven thousand, eight hundred twelve".