112641601 has 2 divisors, whose sum is σ = 112641602. Its totient is φ = 112641600.

The previous prime is 112641583. The next prime is 112641619. The reversal of 112641601 is 106146211.

It is a balanced prime because it is at equal distance from previous prime (112641583) and next prime (112641619).

It can be written as a sum of positive squares in only one way, i.e., 87441201 + 25200400 = 9351^2 + 5020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112641601 is a prime.

It is not a weakly prime, because it can be changed into another prime (112641901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56320800 + 56320801.

It is an arithmetic number, because the mean of its divisors is an integer number (56320801).

Almost surely, 2^112641601 is an apocalyptic number.

It is an amenable number.

112641601 is a deficient number, since it is larger than the sum of its proper divisors (1).

112641601 is an equidigital number, since it uses as much as digits as its factorization.

112641601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 112641601 is about 10613.2747538166. The cubic root of 112641601 is about 482.9471470329.

Adding to 112641601 its reverse (106146211), we get a palindrome (218787812).

The spelling of 112641601 in words is "one hundred twelve million, six hundred forty-one thousand, six hundred one".