2112727 has 2 divisors, whose sum is σ = 2112728. Its totient is φ = 2112726.

The previous prime is 2112713. The next prime is 2112751. The reversal of 2112727 is 7272112.

2112727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112727 - 2¹¹ = 2110679 is a prime.

It is a Chen prime.

2112727 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2112698 and 2112707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112707) 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, 1056363 + 1056364.

It is an arithmetic number, because the mean of its divisors is an integer number (1056364).

2^2112727 is an apocalyptic number.

2112727 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112727 is an equidigital number, since it uses as much as digits as its factorization.

2112727 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 392, while the sum is 22.

The square root of 2112727 is about 1453.5222736511. The cubic root of 2112727 is about 128.3160929596.

Adding to 2112727 its reverse (7272112), we get a palindrome (9384839).

The spelling of 2112727 in words is "two million, one hundred twelve thousand, seven hundred twenty-seven".