112643 has 2 divisors, whose sum is σ = 112644. Its totient is φ = 112642.

The previous prime is 112621. The next prime is 112657. The reversal of 112643 is 346211.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 112643 - 2¹⁴ = 96259 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 1 + 1 + 6⁵ + 2¹⁵ + 4⁸ + 3⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112643.

It is not a weakly prime, because it can be changed into another prime (112603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56321 + 56322.

It is an arithmetic number, because the mean of its divisors is an integer number (56322).

2¹¹²⁶⁴³ is an apocalyptic number.

112643 is a deficient number, since it is larger than the sum of its proper divisors (1).

112643 is an equidigital number, since it uses as much as digits as its factorization.

112643 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 17.

The square root of 112643 is about 335.6233007406. The cubic root of 112643 is about 48.2949146413.

Adding to 112643 its reverse (346211), we get a palindrome (458854).

The spelling of 112643 in words is "one hundred twelve thousand, six hundred forty-three".