67112 has 8 divisors (see below), whose sum is σ = 125850. Its totient is φ = 33552.

The previous prime is 67103. The next prime is 67121. The reversal of 67112 is 21176.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67103) and next prime (67121).

It can be written as a sum of positive squares in only one way, i.e., 45796 + 21316 = 214^2 + 146^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4187 + ... + 4202.

2⁶⁷¹¹² is an apocalyptic number.

It is an amenable number.

67112 is a deficient number, since it is larger than the sum of its proper divisors (58738).

67112 is a wasteful number, since it uses less digits than its factorization.

67112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8395 (or 8391 counting only the distinct ones).

The product of its digits is 84, while the sum is 17.

The square root of 67112 is about 259.0598386474. The cubic root of 67112 is about 40.6380999174.

Adding to 67112 its reverse (21176), we get a palindrome (88288).

The spelling of 67112 in words is "sixty-seven thousand, one hundred twelve".