51767 has 2 divisors, whose sum is σ = 51768. Its totient is φ = 51766.

The previous prime is 51749. The next prime is 51769. The reversal of 51767 is 76715.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51767 - 2⁸ = 51511 is a prime.

Together with 51769, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51767.

It is not a weakly prime, because it can be changed into another prime (51769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25883 + 25884.

It is an arithmetic number, because the mean of its divisors is an integer number (25884).

2⁵¹⁷⁶⁷ is an apocalyptic number.

51767 is a deficient number, since it is larger than the sum of its proper divisors (1).

51767 is an equidigital number, since it uses as much as digits as its factorization.

51767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1470, while the sum is 26.

The square root of 51767 is about 227.5236251469. The cubic root of 51767 is about 37.2692796912.

It can be divided in two parts, 51 and 767, that added together give a palindrome (818).

The spelling of 51767 in words is "fifty-one thousand, seven hundred sixty-seven".