18127 has 2 divisors, whose sum is σ = 18128. Its totient is φ = 18126.

The previous prime is 18121. The next prime is 18131. The reversal of 18127 is 72181.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 18127 - 2³ = 18119 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

18127 is a lucky number.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9063 + 9064.

It is an arithmetic number, because the mean of its divisors is an integer number (9064).

2¹⁸¹²⁷ is an apocalyptic number.

18127 is a deficient number, since it is larger than the sum of its proper divisors (1).

18127 is an equidigital number, since it uses as much as digits as its factorization.

18127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112, while the sum is 19.

The square root of 18127 is about 134.6365477870. The cubic root of 18127 is about 26.2689055040.

It can be divided in two parts, 1 and 8127, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 18127 in words is "eighteen thousand, one hundred twenty-seven".