112627 has 6 divisors (see below), whose sum is σ = 117164. Its totient is φ = 108240.

The previous prime is 112621. The next prime is 112643. The reversal of 112627 is 726211.

It is a de Polignac number, because none of the positive numbers 2^k-112627 is a prime.

It is a super-2 number, since 2×112627² = 25369682258, which contains 22 as substring.

It is a Duffinian number.

112627 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (112621) 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 in 5 ways as a sum of consecutive naturals, for example, 1648 + ... + 1714.

2¹¹²⁶²⁷ is an apocalyptic number.

112627 is a deficient number, since it is larger than the sum of its proper divisors (4537).

112627 is an frugal number, since it uses more digits than its factorization.

112627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 112627 is about 335.5994636468. The cubic root of 112627 is about 48.2926279029.

Adding to 112627 its reverse (726211), we get a palindrome (838838).

The spelling of 112627 in words is "one hundred twelve thousand, six hundred twenty-seven".