41382 has 36 divisors (see below), whose sum is σ = 103740. Its totient is φ = 11880.

The previous prime is 41381. The next prime is 41387. The reversal of 41382 is 28314.

Added to its reverse (28314) it gives a square (69696 = 264²).

It is a happy number.

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

It is a d-powerful number, because it can be written as 4 + 1 + 3⁸ + 8⁵ + 2¹¹ .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41381) 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 17 ways as a sum of consecutive naturals, for example, 2169 + ... + 2187.

2⁴¹³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51870).

41382 is an abundant number, since it is smaller than the sum of its proper divisors (62358).

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

41382 is a wasteful number, since it uses less digits than its factorization.

41382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 41382 is about 203.4256620980. The cubic root of 41382 is about 34.5889324977.

Adding to 41382 its reverse (28314), we get a palindrome (69696).

The spelling of 41382 in words is "forty-one thousand, three hundred eighty-two".