83546500 has 48 divisors (see below), whose sum is σ = 193218480. Its totient is φ = 31449600.

The previous prime is 83546473. The next prime is 83546501. The reversal of 83546500 is 564538.

It can be written as a sum of positive squares in 8 ways, for example, as 3873024 + 79673476 = 1968^2 + 8926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83546501) 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 15 ways as a sum of consecutive naturals, for example, 3586 + ... + 13414.

It is an arithmetic number, because the mean of its divisors is an integer number (4025385).

Almost surely, 2^83546500 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 83546500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96609240).

83546500 is an abundant number, since it is smaller than the sum of its proper divisors (109671980).

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

83546500 is a wasteful number, since it uses less digits than its factorization.

83546500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 83546500 is about 9140.3774539129. The cubic root of 83546500 is about 437.1623517260.

The spelling of 83546500 in words is "eighty-three million, five hundred forty-six thousand, five hundred".