287085834 has 96 divisors (see below), whose sum is σ = 760720896. Its totient is φ = 76377600.

The previous prime is 287085833. The next prime is 287085853. The reversal of 287085834 is 438580782.

It is a self number, because there is not a number n which added to its sum of digits gives 287085834.

It is not an unprimeable number, because it can be changed into a prime (287085833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215679 + ... + 217005.

It is an arithmetic number, because the mean of its divisors is an integer number (7924176).

Almost surely, 2^287085834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287085834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380360448).

287085834 is an abundant number, since it is smaller than the sum of its proper divisors (473635062).

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

287085834 is a wasteful number, since it uses less digits than its factorization.

287085834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 287085834 is about 16943.6074671246. The cubic root of 287085834 is about 659.6859800935.

The spelling of 287085834 in words is "two hundred eighty-seven million, eighty-five thousand, eight hundred thirty-four".