27538 has 12 divisors (see below), whose sum is σ = 48222. Its totient is φ = 11760.

The previous prime is 27529. The next prime is 27539. The reversal of 27538 is 83572.

It can be written as a sum of positive squares in only one way, i.e., 21609 + 5929 = 147^2 + 77^2 .

It is not an unprimeable number, because it can be changed into a prime (27539) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43 + ... + 238.

2²⁷⁵³⁸ is an apocalyptic number.

27538 is a deficient number, since it is larger than the sum of its proper divisors (20684).

27538 is a wasteful number, since it uses less digits than its factorization.

27538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 27538 is about 165.9457742758. The cubic root of 27538 is about 30.1979502432.

It can be divided in two parts, 275 and 38, that added together give a palindrome (313).

The spelling of 27538 in words is "twenty-seven thousand, five hundred thirty-eight".