39220 has 24 divisors (see below), whose sum is σ = 86184. Its totient is φ = 14976.

The previous prime is 39217. The next prime is 39227. The reversal of 39220 is 2293.

39220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14884 + 24336 = 122^2 + 156^2 .

39220 is strictly pandigital in base 6.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39194 and 39203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2³⁹²²⁰ 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 39220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092).

39220 is an abundant number, since it is smaller than the sum of its proper divisors (46964).

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

39220 is a wasteful number, since it uses less digits than its factorization.

39220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 39220 is about 198.0403999188. The cubic root of 39220 is about 33.9757612709.

Subtracting from 39220 its sum of digits (16), we obtain a square (39204 = 198²).

The spelling of 39220 in words is "thirty-nine thousand, two hundred twenty".