83220 has 48 divisors (see below), whose sum is σ = 248640. Its totient is φ = 20736.

The previous prime is 83219. The next prime is 83221. The reversal of 83220 is 2238.

It is an interprime number because it is at equal distance from previous prime (83219) and next prime (83221).

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

83220 is an undulating number in base 8.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 83220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (5180).

2⁸³²²⁰ 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 83220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124320).

83220 is an abundant number, since it is smaller than the sum of its proper divisors (165420).

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

83220 is a wasteful number, since it uses less digits than its factorization.

83220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 83220 is about 288.4787687162. The cubic root of 83220 is about 43.6592130963.

Adding to 83220 its reverse (2238), we get a palindrome (85458).

It can be divided in two parts, 83 and 220, that added together give a palindrome (303).

The spelling of 83220 in words is "eighty-three thousand, two hundred twenty".