82500084 has 72 divisors (see below), whose sum is σ = 215903688. Its totient is φ = 26542080.

The previous prime is 82500079. The next prime is 82500107. The reversal of 82500084 is 48000528.

82500084 is a `hidden beast` number, since 82 + 500 + 0 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64352484 + 18147600 = 8022^2 + 4260^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320884 + ... + 321140.

Almost surely, 2^82500084 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 82500084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107951844).

82500084 is an abundant number, since it is smaller than the sum of its proper divisors (133403604).

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

82500084 is a wasteful number, since it uses less digits than its factorization.

82500084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82500084 is about 9082.9556863391. The cubic root of 82500084 is about 435.3295323068.

The spelling of 82500084 in words is "eighty-two million, five hundred thousand, eighty-four".