63987 has 16 divisors (see below), whose sum is σ = 106752. Its totient is φ = 33120.

The previous prime is 63977. The next prime is 63997. The reversal of 63987 is 78936.

It is a happy number.

63987 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (63977) and next prime (63997).

It is not a de Polignac number, because 63987 - 2¹⁵ = 31219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 6⁶ + 3 + 9 + 8³ + 7⁵ .

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63987.

It is not an unprimeable number, because it can be changed into a prime (63907) 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, 93 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (6672).

2⁶³⁹⁸⁷ is an apocalyptic number.

63987 is a deficient number, since it is larger than the sum of its proper divisors (42765).

63987 is a wasteful number, since it uses less digits than its factorization.

63987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its digits is 9072, while the sum is 33.

The square root of 63987 is about 252.9565180026. The cubic root of 63987 is about 39.9972914833.

It can be divided in two parts, 6 and 3987, that added together give a palindrome (3993).

The spelling of 63987 in words is "sixty-three thousand, nine hundred eighty-seven".