302085 has 36 divisors (see below), whose sum is σ = 613548. Its totient is φ = 137088.

The previous prime is 302053. The next prime is 302111. The reversal of 302085 is 580203.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 159201 = 378^2 + 399^2 .

It is not a de Polignac number, because 302085 - 2⁵ = 302053 is a prime.

It is a Curzon number.

302085 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 302085.

It is an unprimeable 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 35 ways as a sum of consecutive naturals, for example, 2137 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (17043).

2³⁰²⁰⁸⁵ is an apocalyptic number.

302085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

302085 is an abundant number, since it is smaller than the sum of its proper divisors (311463).

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

302085 is a wasteful number, since it uses less digits than its factorization.

302085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 302085 is about 549.6225977887. The cubic root of 302085 is about 67.0980224082.

Adding to 302085 its reverse (580203), we get a palindrome (882288).

The spelling of 302085 in words is "three hundred two thousand, eighty-five".