198127 has 2 divisors, whose sum is σ = 198128. Its totient is φ = 198126.

The previous prime is 198109. The next prime is 198139. The reversal of 198127 is 721891.

It is a strong prime.

It is an emirp because it is prime and its reverse (721891) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-198127 is a prime.

It is a super-3 number, since 3×198127³ = 23332014920023149, which contains 333 as substring.

198127 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 198095 and 198104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99063 + 99064.

It is an arithmetic number, because the mean of its divisors is an integer number (99064).

2¹⁹⁸¹²⁷ is an apocalyptic number.

198127 is a deficient number, since it is larger than the sum of its proper divisors (1).

198127 is an equidigital number, since it uses as much as digits as its factorization.

198127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 28.

The square root of 198127 is about 445.1145919873. The cubic root of 198127 is about 58.2972257270.

It can be divided in two parts, 198 and 127, that added together give a triangular number (325 = T₂₅).

The spelling of 198127 in words is "one hundred ninety-eight thousand, one hundred twenty-seven".