11724 has 12 divisors (see below), whose sum is σ = 27384. Its totient is φ = 3904.

The previous prime is 11719. The next prime is 11731. The reversal of 11724 is 42711.

11724 = 32² + 33² + ... + 40².

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 5 and base 11.

It is a zygodrome in base 5 and base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 477 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (2282).

2¹¹⁷²⁴ is an apocalyptic number.

It is an amenable number.

11724 is an abundant number, since it is smaller than the sum of its proper divisors (15660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692).

11724 is a wasteful number, since it uses less digits than its factorization.

11724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 982 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 11724 is about 108.2774214691. The cubic root of 11724 is about 22.7173988624.

It can be divided in two parts, 1172 and 4, that added together give a triangular number (1176 = T₄₈).

The spelling of 11724 in words is "eleven thousand, seven hundred twenty-four", and thus it is an iban number.