41984 has 22 divisors (see below), whose sum is σ = 85974. Its totient is φ = 20480.

The previous prime is 41983. The next prime is 41999. The reversal of 41984 is 48914.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 16384 = 160^2 + 128^2 .

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004 + ... + 1044.

2⁴¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42987).

41984 is an abundant number, since it is smaller than the sum of its proper divisors (43990).

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

41984 is an equidigital number, since it uses as much as digits as its factorization.

41984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 43 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 41984 is about 204.8999755979. The cubic root of 41984 is about 34.7558518861.

The spelling of 41984 in words is "forty-one thousand, nine hundred eighty-four".