11753 has 8 divisors (see below), whose sum is σ = 14208. Its totient is φ = 9504.

The previous prime is 11743. The next prime is 11777. The reversal of 11753 is 35711.

11753 is digitally balanced in base 3, because in such base 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 11753 - 2⁶ = 11689 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11743) 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, 125 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (1776).

2¹¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

11753 is a deficient number, since it is larger than the sum of its proper divisors (2455).

11753 is an equidigital number, since it uses as much as digits as its factorization.

11753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its digits is 105, while the sum is 17.

The square root of 11753 is about 108.4112540284. The cubic root of 11753 is about 22.7361143780.

The spelling of 11753 in words is "eleven thousand, seven hundred fifty-three".