284382085 has 24 divisors (see below), whose sum is σ = 373066344. Its totient is φ = 206876160.

The previous prime is 284382079. The next prime is 284382113. The reversal of 284382085 is 580283482.

284382085 = 223² + 224² + ... + 952².

It can be written as a sum of positive squares in 12 ways, for example, as 120516484 + 163865601 = 10978^2 + 12801^2 .

It is not a de Polignac number, because 284382085 - 2⁵ = 284382053 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345975 + ... + 346795.

It is an arithmetic number, because the mean of its divisors is an integer number (15544431).

Almost surely, 2^284382085 is an apocalyptic number.

It is an amenable number.

284382085 is a deficient number, since it is larger than the sum of its proper divisors (88684259).

284382085 is an equidigital number, since it uses as much as digits as its factorization.

284382085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 284382085 is about 16863.6320227880. The cubic root of 284382085 is about 657.6084897626.

The spelling of 284382085 in words is "two hundred eighty-four million, three hundred eighty-two thousand, eighty-five".