4085 has 8 divisors (see below), whose sum is σ = 5280. Its totient is φ = 3024.

The previous prime is 4079. The next prime is 4091. The reversal of 4085 is 5804.

It is an interprime number because it is at equal distance from previous prime (4079) and next prime (4091).

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

It is a cyclic number.

It is not a de Polignac number, because 4085 - 2⁶ = 4021 is a prime.

It is a Curzon number.

It is a plaindrome in base 12 and base 14.

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (660).

2⁴⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

4085 is a deficient number, since it is larger than the sum of its proper divisors (1195).

4085 is a wasteful number, since it uses less digits than its factorization.

4085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4085 is about 63.9140047251. The cubic root of 4085 is about 15.9856642425.

Adding to 4085 its reverse (5804), we get a palindrome (9889).

It can be divided in two parts, 40 and 85, that added together give a cube (125 = 5³).

The spelling of 4085 in words is "four thousand, eighty-five".