83221020 has 120 divisors (see below), whose sum is σ = 266865984. Its totient is φ = 21700224.

The previous prime is 83221003. The next prime is 83221031. The reversal of 83221020 is 2012238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 83220984 and 83221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75594 + ... + 76686.

Almost surely, 2^83221020 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 83221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133432992).

83221020 is an abundant number, since it is smaller than the sum of its proper divisors (183644964).

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

83221020 is a wasteful number, since it uses less digits than its factorization.

83221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 83221020 is about 9122.5555629988. Note that the first 4 decimals coincide. The cubic root of 83221020 is about 436.5939146775.

Adding to 83221020 its reverse (2012238), we get a palindrome (85233258).

The spelling of 83221020 in words is "eighty-three million, two hundred twenty-one thousand, twenty".