63649 has 2 divisors, whose sum is σ = 63650. Its totient is φ = 63648.

The previous prime is 63647. The next prime is 63659. The reversal of 63649 is 94636.

63649 is digitally balanced in base 2, because in such base 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., 46225 + 17424 = 215^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 63649 - 2¹ = 63647 is a prime.

Together with 63647, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (63647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31824 + 31825.

It is an arithmetic number, because the mean of its divisors is an integer number (31825).

2⁶³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

63649 is a deficient number, since it is larger than the sum of its proper divisors (1).

63649 is an equidigital number, since it uses as much as digits as its factorization.

63649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 28.

The square root of 63649 is about 252.2875343730. The cubic root of 63649 is about 39.9267409096.

It can be divided in two parts, 6 and 3649, that added together give a triangular number (3655 = T₈₅).

The spelling of 63649 in words is "sixty-three thousand, six hundred forty-nine".