86751 has 28 divisors (see below), whose sum is σ = 157392. Its totient is φ = 46656.

The previous prime is 86743. The next prime is 86753. The reversal of 86751 is 15768.

86751 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 86751 - 2³ = 86743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (1680) is a multiple of the sum of its prime factors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86753) 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 in 27 ways as a sum of consecutive naturals, for example, 5095 + ... + 5111.

2⁸⁶⁷⁵¹ is an apocalyptic number.

86751 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

86751 is a deficient number, since it is larger than the sum of its proper divisors (70641).

86751 is an equidigital number, since it uses as much as digits as its factorization.

86751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 86751 is about 294.5352270952. The cubic root of 86751 is about 44.2681626101.

The spelling of 86751 in words is "eighty-six thousand, seven hundred fifty-one".