27638 has 8 divisors (see below), whose sum is σ = 44688. Its totient is φ = 12744.

The previous prime is 27631. The next prime is 27647. The reversal of 27638 is 83672.

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

It is a super-3 number, since 3×27638³ = 63334608774216, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 1063 = 27638 / (2 + 7 + 6 + 3 + 8).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27631) by changing a digit.

27638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 506 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2²⁷⁶³⁸ is an apocalyptic number.

27638 is a deficient number, since it is larger than the sum of its proper divisors (17050).

27638 is a wasteful number, since it uses less digits than its factorization.

27638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078.

The product of its digits is 2016, while the sum is 26.

The square root of 27638 is about 166.2468044806. The cubic root of 27638 is about 30.2344591530.

The spelling of 27638 in words is "twenty-seven thousand, six hundred thirty-eight".