112966585 has 16 divisors (see below), whose sum is σ = 139093200. Its totient is φ = 88042240.

The previous prime is 112966583. The next prime is 112966591. The reversal of 112966585 is 585669211.

It can be written as a sum of positive squares in 8 ways, for example, as 2359296 + 110607289 = 1536^2 + 10517^2 .

It is not a de Polignac number, because 112966585 - 2¹ = 112966583 is a prime.

It is a super-2 number, since 2×112966585² = 25522898653124450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112966583) 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 in 15 ways as a sum of consecutive naturals, for example, 38055 + ... + 40915.

It is an arithmetic number, because the mean of its divisors is an integer number (8693325).

Almost surely, 2^112966585 is an apocalyptic number.

It is an amenable number.

112966585 is a deficient number, since it is larger than the sum of its proper divisors (26126615).

112966585 is a wasteful number, since it uses less digits than its factorization.

112966585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068.

The product of its digits is 129600, while the sum is 43.

The square root of 112966585 is about 10628.5739871349. The cubic root of 112966585 is about 483.4111538060.

The spelling of 112966585 in words is "one hundred twelve million, nine hundred sixty-six thousand, five hundred eighty-five".