541112 has 48 divisors (see below), whose sum is σ = 1228920. Its totient is φ = 221760.

The previous prime is 541097. The next prime is 541129. The reversal of 541112 is 211145.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541112.

It is an unprimeable number.

541112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 12563 + ... + 12605.

2⁵⁴¹¹¹² is an apocalyptic number.

541112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614460).

541112 is an abundant number, since it is smaller than the sum of its proper divisors (687808).

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

541112 is a wasteful number, since it uses less digits than its factorization.

541112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its digits is 40, while the sum is 14.

The square root of 541112 is about 735.6031538812. The cubic root of 541112 is about 81.4883870691.

Adding to 541112 its reverse (211145), we get a palindrome (752257).

The spelling of 541112 in words is "five hundred forty-one thousand, one hundred twelve".