41538 has 32 divisors (see below), whose sum is σ = 101376. Its totient is φ = 11088.

The previous prime is 41521. The next prime is 41539. The reversal of 41538 is 83514.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41539) by changing a digit.

41538 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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (3168).

2⁴¹⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688).

41538 is an abundant number, since it is smaller than the sum of its proper divisors (59838).

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

41538 is a wasteful number, since it uses less digits than its factorization.

41538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its digits is 480, while the sum is 21.

The square root of 41538 is about 203.8087338658. The cubic root of 41538 is about 34.6323419290.

The spelling of 41538 in words is "forty-one thousand, five hundred thirty-eight".