8724 has 12 divisors (see below), whose sum is σ = 20384. Its totient is φ = 2904.

The previous prime is 8719. The next prime is 8731. The reversal of 8724 is 4278.

It is a happy number.

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

It is a super-2 number, since 2×8724² = 152216352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 8724.

It is a congruent number.

It is an unprimeable number.

8724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352 + ... + 375.

2⁸⁷²⁴ is an apocalyptic number.

It is an amenable number.

8724 is an abundant number, since it is smaller than the sum of its proper divisors (11660).

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 (10192).

8724 is a wasteful number, since it uses less digits than its factorization.

8724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 8724 is about 93.4023554307. The cubic root of 8724 is about 20.5859960750.

It can be divided in two parts, 87 and 24, that added together give a palindrome (111).

The spelling of 8724 in words is "eight thousand, seven hundred twenty-four".