86769 has 12 divisors (see below), whose sum is σ = 129792. Its totient is φ = 55800.

The previous prime is 86767. The next prime is 86771. The reversal of 86769 is 96768.

It is an interprime number because it is at equal distance from previous prime (86767) and next prime (86771).

It is not a de Polignac number, because 86769 - 2¹ = 86767 is a prime.

It is a super-2 number, since 2×86769² = 15057718722, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (10816).

2⁸⁶⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

86769 is a deficient number, since it is larger than the sum of its proper divisors (43023).

86769 is a wasteful number, since it uses less digits than its factorization.

86769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 86769 is about 294.5657821268. The cubic root of 86769 is about 44.2712241380.

Subtracting 86769 from its reverse (96768), we obtain a palindrome (9999).

The spelling of 86769 in words is "eighty-six thousand, seven hundred sixty-nine".