41504 has 12 divisors (see below), whose sum is σ = 81774. Its totient is φ = 20736.

The previous prime is 41491. The next prime is 41507. The reversal of 41504 is 40514.

It can be written as a sum of positive squares in only one way, i.e., 21904 + 19600 = 148^2 + 140^2 .

It is a nialpdrome in base 16.

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 41504.

It is not an unprimeable number, because it can be changed into a prime (41507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 617 + ... + 680.

2⁴¹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

41504 is a deficient number, since it is larger than the sum of its proper divisors (40270).

41504 is a wasteful number, since it uses less digits than its factorization.

41504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 41504 is about 203.7253052519. The cubic root of 41504 is about 34.6228901737.

Subtracting from 41504 its reverse (40514), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 41 and 504, that added together give a palindrome (545).

The spelling of 41504 in words is "forty-one thousand, five hundred four".