41820 has 48 divisors (see below), whose sum is σ = 127008. Its totient is φ = 10240.

The previous prime is 41813. The next prime is 41843. The reversal of 41820 is 2814.

41820 is digitally balanced in base 2, base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

41820 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 41820.

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 41820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

2⁴¹⁸²⁰ is an apocalyptic number.

It is a pronic number, being equal to 204×205.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

41820 is an abundant number, since it is smaller than the sum of its proper divisors (85188).

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

41820 is a wasteful number, since it uses less digits than its factorization.

41820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41820 is about 204.4993887521. The cubic root of 41820 is about 34.7105378167.

It can be divided in two parts, 41 and 820, that added together give a triangular number (861 = T₄₁).

The spelling of 41820 in words is "forty-one thousand, eight hundred twenty".