8649 has 9 divisors (see below), whose sum is σ = 12909. Its totient is φ = 5580.

The previous prime is 8647. The next prime is 8663. The reversal of 8649 is 9468.

It can be divided in two parts, 864 and 9, that multiplied together give a 5-th power (7776 = 6^{5}).

8649 = T_{92} + T_{93}.

The square root of 8649 is 93.

It is a perfect power (a square), and thus also a powerful number.

8649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8649 - 2^{1} = 8647 is a prime.

It is a Curzon number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 8649.

It is not an unprimeable number, because it can be changed into a prime (8641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264 + ... + 294.

2^{8649} is an apocalyptic number.

8649 is the 93-rd square number.

8649 is the 47-th centered octagonal number.

It is an amenable number.

8649 is a deficient number, since it is larger than the sum of its proper divisors (4260).

8649 is a wasteful number, since it uses less digits than its factorization.

8649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The cubic root of 8649 is about 20.5268337874.

The spelling of 8649 in words is "eight thousand, six hundred forty-nine".

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