83313620 has 54 divisors (see below), whose sum is σ = 190666602. Its totient is φ = 30566016.

The previous prime is 83313619. The next prime is 83313667. The reversal of 83313620 is 2631338.

It can be written as a sum of positive squares in 9 ways, for example, as 63936016 + 19377604 = 7996^2 + 4402^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 83313620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 530582 + ... + 530738.

It is an arithmetic number, because the mean of its divisors is an integer number (3530863).

Almost surely, 2^83313620 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 83313620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95333301).

83313620 is an abundant number, since it is smaller than the sum of its proper divisors (107352982).

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

83313620 is a wasteful number, since it uses less digits than its factorization.

83313620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 83313620 is about 9127.6294841541. The cubic root of 83313620 is about 436.7557872861.

Adding to 83313620 its reverse (2631338), we get a palindrome (85944958).

The spelling of 83313620 in words is "eighty-three million, three hundred thirteen thousand, six hundred twenty".