82287000 has 192 divisors, whose sum is σ = 286191360. Its totient is φ = 21312000.

The previous prime is 82286933. The next prime is 82287011. The reversal of 82287000 is 78228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368889 + ... + 369111.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^82287000 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 82287000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

82287000 is an abundant number, since it is smaller than the sum of its proper divisors (203904360).

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

82287000 is a wasteful number, since it uses less digits than its factorization.

82287000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82287000 is about 9071.2182202833. The cubic root of 82287000 is about 434.9544145651.

The spelling of 82287000 in words is "eighty-two million, two hundred eighty-seven thousand".