8638 has 8 divisors (see below), whose sum is σ = 14832. Its totient is φ = 3696.

The previous prime is 8629. The next prime is 8641. The reversal of 8638 is 8368.

8638 is an esthetic number in base 11 and base 14, because in such bases its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 11 and base 14.

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 8638.

It is an unprimeable number.

8638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (1854).

8638 is a deficient number, since it is larger than the sum of its proper divisors (6194).

8638 is a wasteful number, since it uses less digits than its factorization.

8638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626.

The product of its digits is 1152, while the sum is 25.

The square root of 8638 is about 92.9408413992. The cubic root of 8638 is about 20.5181279269.

It can be divided in two parts, 8 and 638, that added together give a palindrome (646).

The spelling of 8638 in words is "eight thousand, six hundred thirty-eight".