4086 has 12 divisors (see below), whose sum is σ = 8892. Its totient is φ = 1356.

The previous prime is 4079. The next prime is 4091. The reversal of 4086 is 6804.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 227 = 4086 / (4 + 0 + 8 + 6).

It is a plaindrome in base 12 and base 14.

It is a nialpdrome in base 8, base 9 and base 16.

It is a zygodrome in base 8.

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 4086.

It is an unprimeable number.

4086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (741).

4086 is an abundant number, since it is smaller than the sum of its proper divisors (4806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4086 is a wasteful number, since it uses less digits than its factorization.

4086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4086 is about 63.9218272580. The cubic root of 4086 is about 15.9869685559.

Adding to 4086 its product of nonzero digits (192), we get a triangular number (4278 = T₉₂).

It can be divided in two parts, 408 and 6, that added together give a palindrome (414).

The spelling of 4086 in words is "four thousand, eighty-six".