11045 has 6 divisors (see below), whose sum is σ = 13542. Its totient is φ = 8648.

The previous prime is 11027. The next prime is 11047. The reversal of 11045 is 54011.

11045 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 2209 = 94^2 + 47^2 .

It is not a de Polignac number, because 11045 - 2⁸ = 10789 is a prime.

It is a Duffinian number.

11045 is strictly pandigital in base 6.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (2257).

2¹¹⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

11045 is a deficient number, since it is larger than the sum of its proper divisors (2497).

11045 is an frugal number, since it uses more digits than its factorization.

11045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 11045 is about 105.0951949425. The cubic root of 11045 is about 22.2700866457.

Subtracting from 11045 its product of nonzero digits (20), we obtain a square (11025 = 105²).

Multiplying 11045 by its product of nonzero digits (20), we get a square (220900 = 470²).

Adding to 11045 its reverse (54011), we get a palindrome (65056).

It can be divided in two parts, 110 and 45, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 11045 in words is "eleven thousand, forty-five".