5038 has 8 divisors (see below), whose sum is σ = 8280. Its totient is φ = 2280.

The previous prime is 5023. The next prime is 5039. The reversal of 5038 is 8305.

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

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

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5038.

It is not an unprimeable number, because it can be changed into a prime (5039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (1035).

5038 is a deficient number, since it is larger than the sum of its proper divisors (3242).

5038 is a wasteful number, since it uses less digits than its factorization.

5038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5038 is about 70.9788700953. The cubic root of 5038 is about 17.1429695760.

Multiplying 5038 by its sum of digits (16), we get a palindrome (80608).

It can be divided in two parts, 50 and 38, that added together give a palindrome (88).

The spelling of 5038 in words is "five thousand, thirty-eight".