86785 has 8 divisors (see below), whose sum is σ = 110376. Its totient is φ = 65280.

The previous prime is 86783. The next prime is 86813. The reversal of 86785 is 58768.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 66049 = 144^2 + 257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 86785 - 2¹ = 86783 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 86785.

It is not an unprimeable number, because it can be changed into a prime (86783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (13797).

2⁸⁶⁷⁸⁵ is an apocalyptic number.

86785 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86785 is a deficient number, since it is larger than the sum of its proper divisors (23591).

86785 is a wasteful number, since it uses less digits than its factorization.

86785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043.

The product of its digits is 13440, while the sum is 34.

The square root of 86785 is about 294.5929394945. The cubic root of 86785 is about 44.2739451407.

The spelling of 86785 in words is "eighty-six thousand, seven hundred eighty-five".