86767 has 2 divisors, whose sum is σ = 86768. Its totient is φ = 86766.

The previous prime is 86753. The next prime is 86771. The reversal of 86767 is 76768.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 86767 - 2¹¹ = 84719 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43383 + 43384.

It is an arithmetic number, because the mean of its divisors is an integer number (43384).

2⁸⁶⁷⁶⁷ is an apocalyptic number.

86767 is a deficient number, since it is larger than the sum of its proper divisors (1).

86767 is an equidigital number, since it uses as much as digits as its factorization.

86767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 34.

The square root of 86767 is about 294.5623872798. The cubic root of 86767 is about 44.2708839892.

Subtracting from 86767 its reverse (76768), we obtain a palindrome (9999).

The spelling of 86767 in words is "eighty-six thousand, seven hundred sixty-seven".