13453

13453 is a prime number. It is the 1587th prime number, following 13451 and preceding 13457. In base 10, its digits are 1, 3, 4, 5, and 3. The sum of its digits is 16.

The number 13453 can be expressed as the sum of two squares: 13453 = 52^2 + 95^2. This is because it is a prime number of the form 4k+1, specifically 13453 = 4 * 3363 + 1. It can also be expressed as the sum of four squares in multiple ways, following Lagrange's four-square theorem.

As an integer, 13453 has limited common occurrences in everyday contexts. It is not a widely recognized constant, a significant historical date, or a common measurement unit. Its significance primarily lies within the realm of number theory, where its properties as a prime number are of interest to mathematicians. Further exploration of 13453 would typically involve specialized mathematical databases or computational number theory tools.