112641 has 4 divisors (see below), whose sum is σ = 150192. Its totient is φ = 75092.

The previous prime is 112621. The next prime is 112643. The reversal of 112641 is 146211.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 112641 - 2⁶ = 112577 is a prime.

It is a D-number.

It is a self number, because there is not a number n which added to its sum of digits gives 112641.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112641.

It is not an unprimeable number, because it can be changed into a prime (112643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18771 + ... + 18776.

It is an arithmetic number, because the mean of its divisors is an integer number (37548).

It is a Proth number, since it is equal to 55 ⋅ 2¹¹ + 1 and 55 < 2¹¹.

2¹¹²⁶⁴¹ is an apocalyptic number.

It is an amenable number.

112641 is a deficient number, since it is larger than the sum of its proper divisors (37551).

112641 is an equidigital number, since it uses as much as digits as its factorization.

112641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37550.

The product of its digits is 48, while the sum is 15.

The square root of 112641 is about 335.6203211964. The cubic root of 112641 is about 48.2946288109.

Adding to 112641 its reverse (146211), we get a palindrome (258852).

The spelling of 112641 in words is "one hundred twelve thousand, six hundred forty-one".