5338 has 8 divisors (see below), whose sum is σ = 8532. Its totient is φ = 2496.

The previous prime is 5333. The next prime is 5347. The reversal of 5338 is 8335.

It can be written as a sum of positive squares in 2 ways, for example, as 5329 + 9 = 73^2 + 3^2 .

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

It is a plaindrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (5333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 112.

2⁵³³⁸ is an apocalyptic number.

5338 is a deficient number, since it is larger than the sum of its proper divisors (3194).

5338 is a wasteful number, since it uses less digits than its factorization.

5338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its digits is 360, while the sum is 19.

The square root of 5338 is about 73.0616178304. The cubic root of 5338 is about 17.4767036952.

It can be divided in two parts, 53 and 38, that added together give a triangular number (91 = T₁₃).

The spelling of 5338 in words is "five thousand, three hundred thirty-eight".