41838 has 16 divisors (see below), whose sum is σ = 88320. Its totient is φ = 13176.

The previous prime is 41813. The next prime is 41843. The reversal of 41838 is 83814.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (5520).

2⁴¹⁸³⁸ is an apocalyptic number.

41838 is an abundant number, since it is smaller than the sum of its proper divisors (46482).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44160).

41838 is a wasteful number, since it uses less digits than its factorization.

41838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 768, while the sum is 24.

The square root of 41838 is about 204.5433939290. The cubic root of 41838 is about 34.7155170934.

Subtracting from 41838 its sum of digits (24), we obtain a palindrome (41814).

The spelling of 41838 in words is "forty-one thousand, eight hundred thirty-eight".