63647 has 2 divisors, whose sum is σ = 63648. Its totient is φ = 63646.

The previous prime is 63629. The next prime is 63649. The reversal of 63647 is 74636.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 63647 - 2⁸ = 63391 is a prime.

Together with 63649, it forms a pair of twin primes.

It is a Chen prime.

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 63647.

It is not a weakly prime, because it can be changed into another prime (63649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31823 + 31824.

It is an arithmetic number, because the mean of its divisors is an integer number (31824).

2⁶³⁶⁴⁷ is an apocalyptic number.

63647 is a deficient number, since it is larger than the sum of its proper divisors (1).

63647 is an equidigital number, since it uses as much as digits as its factorization.

63647 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 26.

The square root of 63647 is about 252.2835706105. The cubic root of 63647 is about 39.9263227081.

It can be divided in two parts, 636 and 47, that multiplied together give a palindrome (29892).

The spelling of 63647 in words is "sixty-three thousand, six hundred forty-seven".