25367

25367 is a natural number that comes after 25366 and before 25368. In decimal notation it is written as 25367.

25367 is a prime number. A prime is a positive integer greater than 1 that has no positive divisors other than 1 and itself. For 25367, the square root is about 159, so a complete primality check would only need to test divisibility by primes up to 157. No prime in that range divides 25367, which confirms its primality.

As an odd prime, 25367 ends with the digit 7 and has a digit sum of 2 + 5 + 3 + 6 + 7 = 23, which is not divisible by 3. Consequently, it is not divisible by 2, 3, or 5. It can also be described by its residue modulo small numbers; for example, 25367 ≡ 5 (mod 6), which is consistent with being a prime greater than 3.

Beyond its role as a specific prime, 25367 participates in the general distribution of prime numbers, a central topic in number theory. As with other primes, its exact position in the sequence of primes is not fixed by simple formulas, but it contributes to the overall understanding of primality and arithmetic structure. In different contexts, the sequence of digits 25367 may appear as a label or identifier, but in mathematics the focus here is on its status as a prime number.