15338 has 4 divisors (see below), whose sum is σ = 23010. Its totient is φ = 7668.

The previous prime is 15331. The next prime is 15349. The reversal of 15338 is 83351.

15338 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83351 = 17 ⋅4903.

It can be written as a sum of positive squares in only one way, i.e., 9409 + 5929 = 97^2 + 77^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15338.

It is not an unprimeable number, because it can be changed into a prime (15331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3833 + ... + 3836.

2¹⁵³³⁸ is an apocalyptic number.

15338 is a deficient number, since it is larger than the sum of its proper divisors (7672).

15338 is an equidigital number, since it uses as much as digits as its factorization.

15338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671.

The product of its digits is 360, while the sum is 20.

The square root of 15338 is about 123.8466794064. The cubic root of 15338 is about 24.8459864751.

Adding to 15338 its reverse (83351), we get a palindrome (98689).

It can be divided in two parts, 153 and 38, that added together give a palindrome (191).

The spelling of 15338 in words is "fifteen thousand, three hundred thirty-eight".