282320 has 20 divisors (see below), whose sum is σ = 656580. Its totient is φ = 112896.

The previous prime is 282313. The next prime is 282349. The reversal of 282320 is 23282.

282320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 222784 = 244^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

282320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1685 + ... + 1844.

It is an arithmetic number, because the mean of its divisors is an integer number (32829).

2²⁸²³²⁰ is an apocalyptic number.

282320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282320 is an abundant number, since it is smaller than the sum of its proper divisors (374260).

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

282320 is a wasteful number, since it uses less digits than its factorization.

282320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 282320 is about 531.3379338989. The cubic root of 282320 is about 65.6015169191.

The spelling of 282320 in words is "two hundred eighty-two thousand, three hundred twenty".