83205220 has 48 divisors (see below), whose sum is σ = 202987008. Its totient is φ = 28056960.

The previous prime is 83205211. The next prime is 83205229. The reversal of 83205220 is 2250238.

It is an interprime number because it is at equal distance from previous prime (83205211) and next prime (83205229).

It is a junction number, because it is equal to n+sod(n) for n = 83205191 and 83205200.

It is not an unprimeable number, because it can be changed into a prime (83205229) 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, 3669 + ... + 13411.

It is an arithmetic number, because the mean of its divisors is an integer number (4228896).

Almost surely, 2^83205220 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 83205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101493504).

83205220 is an abundant number, since it is smaller than the sum of its proper divisors (119781788).

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

83205220 is a wasteful number, since it uses less digits than its factorization.

83205220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9820 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 83205220 is about 9121.6895364839. The cubic root of 83205220 is about 436.5662829547.

Adding to 83205220 its reverse (2250238), we get a palindrome (85455458).

The spelling of 83205220 in words is "eighty-three million, two hundred five thousand, two hundred twenty".