8623 has 2 divisors, whose sum is σ = 8624. Its totient is φ = 8622.

The previous prime is 8609. The next prime is 8627. The reversal of 8623 is 3268.

Adding to 8623 its product of digits (288), we get a triangular number (8911 = T_{133}).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8623 - 2^{9} = 8111 is a prime.

It is a super-2 number, since 2×8623^{2} = 148712258, which contains 22 as substring.

It is a d-powerful number, because it can be written as **8** + **2**^{11} + **6** + **3**^{8} .

It is a self number, because there is not a number *n* which added to its sum of digits gives 8623.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8627) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4311 + 4312.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

2^{8623} is an apocalyptic number.

8623 is a deficient number, since it is larger than the sum of its proper divisors (1).

8623 is an equidigital number, since it uses as much as digits as its factorization.

8623 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 19.

The square root of 8623 is about 92.8601098427. The cubic root of 8623 is about 20.5062443797.

The spelling of 8623 in words is "eight thousand, six hundred twenty-three".

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