51827 has 2 divisors, whose sum is σ = 51828. Its totient is φ = 51826.

The previous prime is 51817. The next prime is 51829. The reversal of 51827 is 72815.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51827 is a prime.

Together with 51829, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (51829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25913 + 25914.

It is an arithmetic number, because the mean of its divisors is an integer number (25914).

2⁵¹⁸²⁷ is an apocalyptic number.

51827 is a deficient number, since it is larger than the sum of its proper divisors (1).

51827 is an equidigital number, since it uses as much as digits as its factorization.

51827 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 560, while the sum is 23.

The square root of 51827 is about 227.6554414021. The cubic root of 51827 is about 37.2836729881.

It can be divided in two parts, 518 and 27, that added together give a palindrome (545).

The spelling of 51827 in words is "fifty-one thousand, eight hundred twenty-seven".