83305500 has 192 divisors, whose sum is σ = 265574400. Its totient is φ = 20217600.

The previous prime is 83305499. The next prime is 83305501. The reversal of 83305500 is 550338.

It is an interprime number because it is at equal distance from previous prime (83305499) and next prime (83305501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83305501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054461 + ... + 1054539.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 2^83305500 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 83305500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132787200).

83305500 is an abundant number, since it is smaller than the sum of its proper divisors (182268900).

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

83305500 is a wasteful number, since it uses less digits than its factorization.

83305500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 83305500 is about 9127.1846699845. The cubic root of 83305500 is about 436.7415976405.

Adding to 83305500 its reverse (550338), we get a palindrome (83855838).

The spelling of 83305500 in words is "eighty-three million, three hundred five thousand, five hundred".