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7112 = 237127

7112 has 16 divisors (see below), whose sum is σ = 15360. Its totient is φ = 3024.

The previous prime is 7109. The next prime is 7121. The reversal of 7112 is 2117.

Adding to 7112 its reverse (2117), we get a palindrome (9229).

It can be divided in two parts, 7 and 112, that multiplied together give a square (784 = 282).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 7093 and 7102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (960).

27112 is an apocalyptic number.

It is an amenable number.

7112 is an abundant number, since it is smaller than the sum of its proper divisors (8248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680).

7112 is a wasteful number, since it uses less digits than its factorization.

7112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its digits is 14, while the sum is 11.

The square root of 7112 is about 84.3326745692. The cubic root of 7112 is about 19.2307954871.

The spelling of 7112 in words is "seven thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 56 127 254 508 889 1016 1778 3556 7112