11033 has 8 divisors (see below), whose sum is σ = 12960. Its totient is φ = 9280.

The previous prime is 11027. The next prime is 11047. The reversal of 11033 is 33011.

11033 = 17² + 18² + ... + 33².

11033 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 11033 - 2¹⁰ = 10009 is a prime.

It is a Duffinian number.

11033 is a modest number, since divided by 33 gives 11 as remainder.

It is a Curzon number.

It is a nialpdrome in base 7 and base 11.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 11033.

It is not an unprimeable number, because it can be changed into a prime (11003) 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 7 ways as a sum of consecutive naturals, for example, 158 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2¹¹⁰³³ is an apocalyptic number.

It is an amenable number.

11033 is a deficient number, since it is larger than the sum of its proper divisors (1927).

11033 is a wasteful number, since it uses less digits than its factorization.

11033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 11033 is about 105.0380883299. The cubic root of 11033 is about 22.2620185038.

Adding to 11033 its reverse (33011), we get a palindrome (44044).

The spelling of 11033 in words is "eleven thousand, thirty-three".