41824 has 12 divisors (see below), whose sum is σ = 82404. Its totient is φ = 20896.

The previous prime is 41813. The next prime is 41843. The reversal of 41824 is 42814.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

41824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 622 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (6867).

2⁴¹⁸²⁴ is an apocalyptic number.

It is an amenable number.

41824 is a deficient number, since it is larger than the sum of its proper divisors (40580).

41824 is a wasteful number, since it uses less digits than its factorization.

41824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1309 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 41824 is about 204.5091684986. The cubic root of 41824 is about 34.7116444461.

Subtracting 41824 from its reverse (42814), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 4182 and 4, that added together give a triangular number (4186 = T₉₁).

The spelling of 41824 in words is "forty-one thousand, eight hundred twenty-four".