112993627 has 16 divisors (see below), whose sum is σ = 121484160. Its totient is φ = 104784192.

The previous prime is 112993619. The next prime is 112993631. The reversal of 112993627 is 726399211.

It is a cyclic number.

It is not a de Polignac number, because 112993627 - 2³ = 112993619 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112993627.

It is not an unprimeable number, because it can be changed into a prime (112993607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215788 + ... + 216310.

It is an arithmetic number, because the mean of its divisors is an integer number (7592760).

Almost surely, 2^112993627 is an apocalyptic number.

112993627 is a deficient number, since it is larger than the sum of its proper divisors (8490533).

112993627 is a wasteful number, since it uses less digits than its factorization.

112993627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762.

The product of its digits is 40824, while the sum is 40.

The square root of 112993627 is about 10629.8460478033. The cubic root of 112993627 is about 483.4497237998.

The spelling of 112993627 in words is "one hundred twelve million, nine hundred ninety-three thousand, six hundred twenty-seven".