371112 has 48 divisors (see below), whose sum is σ = 1083360. Its totient is φ = 103776.

The previous prime is 371099. The next prime is 371131. The reversal of 371112 is 211173.

It is a super-3 number, since 3×371112³ = 153333217016630784, which contains 333 as substring.

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 junction number, because it is equal to n+sod(n) for n = 371091 and 371100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 371112.

It is an unprimeable number.

371112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7873 + ... + 7919.

It is an arithmetic number, because the mean of its divisors is an integer number (22570).

2³⁷¹¹¹² 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 371112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541680).

371112 is an abundant number, since it is smaller than the sum of its proper divisors (712248).

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

371112 is a wasteful number, since it uses less digits than its factorization.

371112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 371112 is about 609.1896256503. The cubic root of 371112 is about 71.8623914871.

Multiplying 371112 by its product of digits (42), we get a square (15586704 = 3948²).

371112 divided by its product of digits (42) gives a square (8836 = 94²).

Adding to 371112 its reverse (211173), we get a palindrome (582285).

The spelling of 371112 in words is "three hundred seventy-one thousand, one hundred twelve", and thus it is an iban number.