39820 has 24 divisors (see below), whose sum is σ = 91728. Its totient is φ = 14400.

The previous prime is 39799. The next prime is 39821. The reversal of 39820 is 2893.

39820 is digitally balanced in base 2, because in such base 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 39791 and 39800.

It is not an unprimeable number, because it can be changed into a prime (39821) by changing a digit.

39820 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, 130 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2³⁹⁸²⁰ 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 39820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

39820 is an abundant number, since it is smaller than the sum of its proper divisors (51908).

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

39820 is a wasteful number, since it uses less digits than its factorization.

39820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 39820 is about 199.5494926077. The cubic root of 39820 is about 34.1481425133.

The spelling of 39820 in words is "thirty-nine thousand, eight hundred twenty".