162112 has 28 divisors (see below), whose sum is σ = 342900. Its totient is φ = 75776.

The previous prime is 162109. The next prime is 162119. The reversal of 162112 is 211261.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 92416 = 264^2 + 304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 162092 and 162101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162119) by changing a digit.

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, 1014 + ... + 1162.

2¹⁶²¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171450).

162112 is an abundant number, since it is smaller than the sum of its proper divisors (180788).

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

162112 is a wasteful number, since it uses less digits than its factorization.

162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 162112 is about 402.6313450292. The cubic root of 162112 is about 54.5261777000.

Adding to 162112 its reverse (211261), we get a palindrome (373373).

The spelling of 162112 in words is "one hundred sixty-two thousand, one hundred twelve".