112832181 has 48 divisors (see below), whose sum is σ = 212060160. Its totient is φ = 56057760.

The previous prime is 112832171. The next prime is 112832191. The reversal of 112832181 is 181238211.

It is an interprime number because it is at equal distance from previous prime (112832171) and next prime (112832191).

It is not a de Polignac number, because 112832181 - 2⁶ = 112832117 is a prime.

It is a super-2 number, since 2×112832181² = 25462202138433522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112832141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12400 + ... + 19478.

It is an arithmetic number, because the mean of its divisors is an integer number (4417920).

Almost surely, 2^112832181 is an apocalyptic number.

112832181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112832181 is a deficient number, since it is larger than the sum of its proper divisors (99227979).

112832181 is a wasteful number, since it uses less digits than its factorization.

112832181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7123 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 112832181 is about 10622.2493380639. The cubic root of 112832181 is about 483.2193620559.

The spelling of 112832181 in words is "one hundred twelve million, eight hundred thirty-two thousand, one hundred eighty-one".