112167 has 18 divisors (see below), whose sum is σ = 179816. Its totient is φ = 67320.

The previous prime is 112163. The next prime is 112181. The reversal of 112167 is 761211.

It is not a de Polignac number, because 112167 - 2² = 112163 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1038 + ... + 1140.

2¹¹²¹⁶⁷ is an apocalyptic number.

112167 is a deficient number, since it is larger than the sum of its proper divisors (67649).

112167 is a wasteful number, since it uses less digits than its factorization.

112167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 112167 is about 334.9134216480. The cubic root of 112167 is about 48.2267913475.

Adding to 112167 its reverse (761211), we get a palindrome (873378).

The spelling of 112167 in words is "one hundred twelve thousand, one hundred sixty-seven".