112164127 has 2 divisors, whose sum is σ = 112164128. Its totient is φ = 112164126.

The previous prime is 112164109. The next prime is 112164179. The reversal of 112164127 is 721461211.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 112164127 - 2⁷ = 112163999 is a prime.

It is a super-3 number, since 3×112164127³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112164187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56082063 + 56082064.

It is an arithmetic number, because the mean of its divisors is an integer number (56082064).

Almost surely, 2^112164127 is an apocalyptic number.

112164127 is a deficient number, since it is larger than the sum of its proper divisors (1).

112164127 is an equidigital number, since it uses as much as digits as its factorization.

112164127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 25.

The square root of 112164127 is about 10590.7566774051. The cubic root of 112164127 is about 482.2637959014.

The spelling of 112164127 in words is "one hundred twelve million, one hundred sixty-four thousand, one hundred twenty-seven".