67751 has 2 divisors, whose sum is σ = 67752. Its totient is φ = 67750.

The previous prime is 67741. The next prime is 67757. The reversal of 67751 is 15776.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67751 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67751.

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 67751.

It is not a weakly prime, because it can be changed into another prime (67757) 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 as a sum of consecutive naturals, namely, 33875 + 33876.

It is an arithmetic number, because the mean of its divisors is an integer number (33876).

2⁶⁷⁷⁵¹ is an apocalyptic number.

67751 is a deficient number, since it is larger than the sum of its proper divisors (1).

67751 is an equidigital number, since it uses as much as digits as its factorization.

67751 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 67751 is about 260.2902226362. The cubic root of 67751 is about 40.7666698832.

It can be divided in two parts, 6775 and 1, that added together give a palindrome (6776).

The spelling of 67751 in words is "sixty-seven thousand, seven hundred fifty-one".