285736 has 32 divisors (see below), whose sum is σ = 622080. Its totient is φ = 121600.

The previous prime is 285731. The next prime is 285749. The reversal of 285736 is 637582.

It is a junction number, because it is equal to n+sod(n) for n = 285698 and 285707.

It is not an unprimeable number, because it can be changed into a prime (285731) by changing a digit.

285736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2²⁸⁵⁷³⁶ 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 285736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040).

285736 is an abundant number, since it is smaller than the sum of its proper divisors (336344).

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

285736 is a wasteful number, since it uses less digits than its factorization.

285736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 285736 is about 534.5427952933. The cubic root of 285736 is about 65.8650440974.

The spelling of 285736 in words is "two hundred eighty-five thousand, seven hundred thirty-six".