27438 has 16 divisors (see below), whose sum is σ = 58320. Its totient is φ = 8576.

The previous prime is 27437. The next prime is 27449. The reversal of 27438 is 83472.

27438 is nontrivially palindromic in base 8.

27438 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (3645).

2²⁷⁴³⁸ is an apocalyptic number.

27438 is an abundant number, since it is smaller than the sum of its proper divisors (30882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29160).

27438 is a wasteful number, since it uses less digits than its factorization.

27438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its digits is 1344, while the sum is 24.

The square root of 27438 is about 165.6441970007. The cubic root of 27438 is about 30.1613528417.

Adding to 27438 its product of digits (1344), we get a palindrome (28782).

It can be divided in two parts, 27 and 438, that added together give a triangular number (465 = T₃₀).

The spelling of 27438 in words is "twenty-seven thousand, four hundred thirty-eight".