63687 has 16 divisors (see below), whose sum is σ = 96768. Its totient is φ = 36960.

The previous prime is 63671. The next prime is 63689. The reversal of 63687 is 78636.

It is not a de Polignac number, because 63687 - 2⁴ = 63671 is a prime.

It is an Ulam number.

It is a zygodrome in base 2.

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 63687.

It is not an unprimeable number, because it can be changed into a prime (63689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁶³⁶⁸⁷ is an apocalyptic number.

63687 is a deficient number, since it is larger than the sum of its proper divisors (33081).

63687 is a wasteful number, since it uses less digits than its factorization.

63687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its digits is 6048, while the sum is 30.

The square root of 63687 is about 252.3628340307. The cubic root of 63687 is about 39.9346850737.

It can be divided in two parts, 6 and 3687, that multiplied together give a palindrome (22122).

The spelling of 63687 in words is "sixty-three thousand, six hundred eighty-seven".