8712 has 36 divisors (see below), whose sum is σ = 25935. Its totient is φ = 2640.

The previous prime is 8707. The next prime is 8713. The reversal of 8712 is 2178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8712 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 4356 = 66^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=66.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **8**^{3} + **1** + **7** + **2**^{13} .

Its product of digits (112) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 8712.

It is not an unprimeable number, because it can be changed into a prime (8713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 787 + ... + 797.

2^{8712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8712

8712 is an abundant number, since it is smaller than the sum of its proper divisors (17223).

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

8712 is a wasteful number, since it uses less digits than its factorization.

8712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 16 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 8712 is about 93.3380951166. The cubic root of 8712 is about 20.5765529562.

Multiplying 8712 by its sum of digits (18), we get a square (156816 = 396^{2}).

8712 divided by its sum of digits (18) gives a palindrome (484).

Multiplying 8712 by its reverse (2178), we get a 4-th power (18974736 = 66^{4}).

It can be divided in two parts, 87 and 12, that added together give a palindrome (99).

The spelling of 8712 in words is "eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712

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