1382112 has 36 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 460608.

The previous prime is 1382107. The next prime is 1382113. The reversal of 1382112 is 2112831.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2112 + ... + 2687.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

2^1382112 is an apocalyptic number.

1382112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1382112 is an abundant number, since it is smaller than the sum of its proper divisors (2549088).

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

1382112 is a wasteful number, since it uses less digits than its factorization.

1382112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4804 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1382112 is about 1175.6325956692. The cubic root of 1382112 is about 111.3903954880.

Adding to 1382112 its reverse (2112831), we get a palindrome (3494943).

The spelling of 1382112 in words is "one million, three hundred eighty-two thousand, one hundred twelve".