5238 has 16 divisors (see below), whose sum is σ = 11760. Its totient is φ = 1728.

The previous prime is 5237. The next prime is 5261. The reversal of 5238 is 8325.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 5238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5231) 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 7 ways as a sum of consecutive naturals, for example, 6 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (735).

2⁵²³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880).

5238 is an abundant number, since it is smaller than the sum of its proper divisors (6522).

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

5238 is a wasteful number, since it uses less digits than its factorization.

5238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5238 is about 72.3740284909. The cubic root of 5238 is about 17.3668811162.

It can be divided in two parts, 5 and 238, that added together give a 5-th power (243 = 3⁵).

The spelling of 5238 in words is "five thousand, two hundred thirty-eight".