83066500 has 72 divisors (see below), whose sum is σ = 199554264. Its totient is φ = 30184000.

The previous prime is 83066491. The next prime is 83066507. The reversal of 83066500 is 566038.

It can be written as a sum of positive squares in 4 ways, for example, as 1308736 + 81757764 = 1144^2 + 9042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83066507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59814 + ... + 61186.

It is an arithmetic number, because the mean of its divisors is an integer number (2771587).

Almost surely, 2^83066500 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 83066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99777132).

83066500 is an abundant number, since it is smaller than the sum of its proper divisors (116487764).

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

83066500 is a wasteful number, since it uses less digits than its factorization.

83066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 83066500 is about 9114.0825100500. The cubic root of 83066500 is about 436.3235331148.

The spelling of 83066500 in words is "eighty-three million, sixty-six thousand, five hundred".