11827 has 2 divisors, whose sum is σ = 11828. Its totient is φ = 11826.

The previous prime is 11821. The next prime is 11831. The reversal of 11827 is 72811.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11827 - 2⁷ = 11699 is a prime.

It is a Chen prime.

11827 is a lucky number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (11821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5913 + 5914.

It is an arithmetic number, because the mean of its divisors is an integer number (5914).

2¹¹⁸²⁷ is an apocalyptic number.

11827 is a deficient number, since it is larger than the sum of its proper divisors (1).

11827 is an equidigital number, since it uses as much as digits as its factorization.

11827 is an evil number, because the sum of its binary digits is even.

The product of its digits is 112, while the sum is 19.

The square root of 11827 is about 108.7520114757. The cubic root of 11827 is about 22.7837321116.

It can be divided in two parts, 11 and 827, that added together give a palindrome (838).

The spelling of 11827 in words is "eleven thousand, eight hundred twenty-seven".