87821500 has 96 divisors (see below), whose sum is σ = 210974400.
Its totient is φ = 31737600.
The previous prime is 87821491. The next prime is 87821509. The reversal of 87821500 is 512878.
It is an interprime number because it is at equal distance from previous prime (87821491) and next prime (87821509).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (87821509) 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 31 ways as a sum of consecutive naturals, for example, 383386 + ... + 383614.
It is an arithmetic number, because the mean of its divisors is an integer number (2197650).
Almost surely, 287821500 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 87821500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105487200).
87821500 is an abundant number, since it is smaller than the sum of its proper divisors (123152900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87821500 is a wasteful number, since it uses less digits than its factorization.
87821500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 320 (or 308 counting only the distinct ones).
The product of its (nonzero) digits is 4480, while the sum is 31.
The square root of 87821500 is about 9371.3126081675.
The cubic root of 87821500 is about 444.4950717790.
The spelling of 87821500 in words is "eighty-seven million, eight hundred twenty-one thousand, five hundred".