11085 has 8 divisors (see below), whose sum is σ = 17760. Its totient is φ = 5904.

The previous prime is 11083. The next prime is 11087. The reversal of 11085 is 58011.

11085 = T₄₂ + T₄₃ + ... + T₅₁.

11085 = 31² + 32² + ... + 39².

It is a happy number.

11085 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11083) and next prime (11087).

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

It is not a de Polignac number, because 11085 - 2¹ = 11083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 739 = 11085 / (1 + 1 + 0 + 8 + 5).

It is an Ulam number.

It is a Curzon number.

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 11085.

It is not an unprimeable number, because it can be changed into a prime (11083) 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, 355 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (2220).

2¹¹⁰⁸⁵ is an apocalyptic number.

11085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11085 is a deficient number, since it is larger than the sum of its proper divisors (6675).

11085 is an equidigital number, since it uses as much as digits as its factorization.

11085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11085 is about 105.2853266130. The cubic root of 11085 is about 22.2969383210.

Adding to 11085 its reverse (58011), we get a palindrome (69096).

The spelling of 11085 in words is "eleven thousand, eighty-five".