• Max Alekseyev proved that every number greater or equal to 8543 can be partitioned into squares of distinct integers whose reciprocals sum to 1. For example, one such partition for 8543 is given by the squares of 3, 5, 6, 8, 15, 28, 30, 40, and 70.
8543 has 2 divisors, whose sum is σ = 8544. Its totient is φ = 8542.
The previous prime is 8539. The next prime is 8563. The reversal of 8543 is 3458.
8543 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an a-pointer prime, because the next prime (8563) can be obtained adding 8543 to its sum of digits (20).
It is a weak prime.
It is a cyclic number.
It is not a de Polignac number, because 8543 - 22 = 8539 is a prime.
It is a Chen prime.
It is an alternating number because its digits alternate between even and odd.
It is a nialpdrome in base 10.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8543.
It is not a weakly prime, because it can be changed into another prime (8513) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4271 + 4272.
It is an arithmetic number, because the mean of its divisors is an integer number (4272).
28543 is an apocalyptic number.
8543 is a deficient number, since it is larger than the sum of its proper divisors (1).
8543 is an equidigital number, since it uses as much as digits as its factorization.
8543 is an evil number, because the sum of its binary digits is even.
The product of its digits is 480, while the sum is 20.
The square root of 8543 is about 92.4283506290. The cubic root of 8543 is about 20.4426315955.
It can be divided in two parts, 85 and 43, that multiplied together give a triangular number (3655 = T85).
The spelling of 8543 in words is "eight thousand, five hundred forty-three".
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