83201020 has 72 divisors (see below), whose sum is σ = 206209584. Its totient is φ = 28111104.

The previous prime is 83201017. The next prime is 83201021. The reversal of 83201020 is 2010238.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83200985 and 83201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70959 + ... + 72121.

It is an arithmetic number, because the mean of its divisors is an integer number (2864022).

Almost surely, 2^83201020 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 83201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103104792).

83201020 is an abundant number, since it is smaller than the sum of its proper divisors (123008564).

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

83201020 is a wasteful number, since it uses less digits than its factorization.

83201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 83201020 is about 9121.4593130705. The cubic root of 83201020 is about 436.5589372247.

Adding to 83201020 its reverse (2010238), we get a palindrome (85211258).

The spelling of 83201020 in words is "eighty-three million, two hundred one thousand, twenty".