84285 has 12 divisors (see below), whose sum is σ = 146172. Its totient is φ = 44928.

The previous prime is 84263. The next prime is 84299. The reversal of 84285 is 58248.

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 71289 = 114^2 + 267^2 .

It is not a de Polignac number, because 84285 - 2⁶ = 84221 is a prime.

It is a super-2 number, since 2×84285² = 14207922450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 8 + 4⁶ + 2¹¹ + 8 + 5⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (12181).

2⁸⁴²⁸⁵ is an apocalyptic number.

It is an amenable number.

84285 is a deficient number, since it is larger than the sum of its proper divisors (61887).

84285 is a wasteful number, since it uses less digits than its factorization.

84285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1881 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 84285 is about 290.3187902978. The cubic root of 84285 is about 43.8446657638.

The spelling of 84285 in words is "eighty-four thousand, two hundred eighty-five".