4285 has 4 divisors (see below), whose sum is σ = 5148. Its totient is φ = 3424.

The previous prime is 4283. The next prime is 4289. The reversal of 4285 is 5824.

It can be divided in two parts, 42 and 85, that multiplied together give a triangular number (3570 = T_{84}).

4285 = 16^{2} + 17^{2} + ... + 25^{2}.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 1369 = 54^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 4285 - 2^{1} = 4283 is a prime.

It is a super-2 number, since 2×4285^{2} = 36722450, which contains 22 as substring.

It is a d-powerful number, because it can be written as **4**^{5} + **8** + **2**^{7} + **5**^{5} .

It is a Duffinian number.

4285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 424 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (1287).

2^{4285} is an apocalyptic number.

It is an amenable number.

4285 is a deficient number, since it is larger than the sum of its proper divisors (863).

4285 is an equidigital number, since it uses as much as digits as its factorization.

4285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its digits is 320, while the sum is 19.

The square root of 4285 is about 65.4599113962. The cubic root of 4285 is about 16.2424027603.

The spelling of 4285 in words is "four thousand, two hundred eighty-five".

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