18251 has 2 divisors, whose sum is σ = 18252. Its totient is φ = 18250.

The previous prime is 18233. The next prime is 18253. The reversal of 18251 is 15281.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 18251 - 2¹⁴ = 1867 is a prime.

Together with 18253, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18251.

It is not a weakly prime, because it can be changed into another prime (18253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9125 + 9126.

It is an arithmetic number, because the mean of its divisors is an integer number (9126).

2¹⁸²⁵¹ is an apocalyptic number.

18251 is a deficient number, since it is larger than the sum of its proper divisors (1).

18251 is an equidigital number, since it uses as much as digits as its factorization.

18251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 80, while the sum is 17.

The square root of 18251 is about 135.0962619764. The cubic root of 18251 is about 26.3286680122.

The spelling of 18251 in words is "eighteen thousand, two hundred fifty-one".