43820 has 24 divisors (see below), whose sum is σ = 105504. Its totient is φ = 14976.

The previous prime is 43801. The next prime is 43853. The reversal of 43820 is 2834.

43820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 43820.

It is an unprimeable number.

43820 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 in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (4396).

2⁴³⁸²⁰ 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 43820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52752).

43820 is an abundant number, since it is smaller than the sum of its proper divisors (61684).

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

43820 is a wasteful number, since it uses less digits than its factorization.

43820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 43820 is about 209.3322717595. The cubic root of 43820 is about 35.2552764430.

The spelling of 43820 in words is "forty-three thousand, eight hundred twenty".