4284085 has 16 divisors (see below), whose sum is σ = 5863536. Its totient is φ = 2976768.

The previous prime is 4284061. The next prime is 4284103. The reversal of 4284085 is 5804824.

It can be written as a sum of positive squares in 8 ways, for example, as 256036 + 4028049 = 506^2 + 2007^2 .

It is not a de Polignac number, because 4284085 - 2¹⁹ = 3759797 is a prime.

It is a Duffinian number.

4284085 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834 + ... + 3043.

It is an arithmetic number, because the mean of its divisors is an integer number (366471).

Almost surely, 2^4284085 is an apocalyptic number.

It is an amenable number.

4284085 is a deficient number, since it is larger than the sum of its proper divisors (1579451).

4284085 is a wasteful number, since it uses less digits than its factorization.

4284085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912.

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 4284085 is about 2069.8031307349. The cubic root of 4284085 is about 162.4124656766.

It can be divided in two parts, 4 and 284085, that added together give a square (284089 = 533²).

The spelling of 4284085 in words is "four million, two hundred eighty-four thousand, eighty-five".