4135284 has 72 divisors (see below), whose sum is σ = 11498760. Its totient is φ = 1247232.

The previous prime is 4135283. The next prime is 4135297. The reversal of 4135284 is 4825314.

It can be written as a sum of positive squares in 4 ways, for example, as 608400 + 3526884 = 780^2 + 1878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17632 + ... + 17864.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^4135284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749380).

4135284 is an abundant number, since it is smaller than the sum of its proper divisors (7363476).

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

4135284 is a wasteful number, since it uses less digits than its factorization.

4135284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4135284 is about 2033.5397709413. The cubic root of 4135284 is about 160.5098838063.

The spelling of 4135284 in words is "four million, one hundred thirty-five thousand, two hundred eighty-four".