82827500 has 60 divisors (see below), whose sum is σ = 207046224. Its totient is φ = 28392000.

The previous prime is 82827469. The next prime is 82827529. The reversal of 82827500 is 572828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15134 + ... + 19866.

Almost surely, 2^82827500 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 82827500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103523112).

82827500 is an abundant number, since it is smaller than the sum of its proper divisors (124218724).

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

82827500 is a wasteful number, since it uses less digits than its factorization.

82827500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 82827500 is about 9100.9614876671. The cubic root of 82827500 is about 435.9046659109.

The spelling of 82827500 in words is "eighty-two million, eight hundred twenty-seven thousand, five hundred".