18451 has 2 divisors, whose sum is σ = 18452. Its totient is φ = 18450.

The previous prime is 18443. The next prime is 18457. The reversal of 18451 is 15481.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 18451 - 2³ = 18443 is a prime.

It is a Chen prime.

18451 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (18457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9225 + 9226.

It is an arithmetic number, because the mean of its divisors is an integer number (9226).

2¹⁸⁴⁵¹ is an apocalyptic number.

18451 is a deficient number, since it is larger than the sum of its proper divisors (1).

18451 is an equidigital number, since it uses as much as digits as its factorization.

18451 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 160, while the sum is 19.

The square root of 18451 is about 135.8344580731. The cubic root of 18451 is about 26.4244913525.

It can be divided in two parts, 18 and 451, that multiplied together give a palindrome (8118).

The spelling of 18451 in words is "eighteen thousand, four hundred fifty-one".