13649 has 2 divisors, whose sum is σ = 13650. Its totient is φ = 13648.

The previous prime is 13633. The next prime is 13669. The reversal of 13649 is 94631.

13649 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 4624 = 95^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 13649 - 2^{4} = 13633 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6824 + 6825.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2^{13649} is an apocalyptic number.

It is an amenable number.

13649 is a deficient number, since it is larger than the sum of its proper divisors (1).

13649 is an equidigital number, since it uses as much as digits as its factorization.

13649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

The square root of 13649 is about 116.8289347722. The cubic root of 13649 is about 23.8982964770.

The spelling of 13649 in words is "thirteen thousand, six hundred forty-nine".

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