11523 has 8 divisors (see below), whose sum is σ = 16128. Its totient is φ = 7304.

The previous prime is 11519. The next prime is 11527. The reversal of 11523 is 32511.

11523 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 (11519) and next prime (11527).

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 11523 - 2² = 11519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11499 and 11508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11527) 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, 15 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2¹¹⁵²³ is an apocalyptic number.

11523 is a deficient number, since it is larger than the sum of its proper divisors (4605).

11523 is a wasteful number, since it uses less digits than its factorization.

11523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193.

The product of its digits is 30, while the sum is 12.

The square root of 11523 is about 107.3452374351. The cubic root of 11523 is about 22.5868250147.

Subtracting from 11523 its sum of digits (12), we obtain a palindrome (11511).

The spelling of 11523 in words is "eleven thousand, five hundred twenty-three".