4135712 has 48 divisors (see below), whose sum is σ = 9576000. Its totient is φ = 1721088.

The previous prime is 4135627. The next prime is 4135717. The reversal of 4135712 is 2175314.

4135712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4135712² = 34208227493888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4135717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8039 + ... + 8537.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 2^4135712 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 4135712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788000).

4135712 is an abundant number, since it is smaller than the sum of its proper divisors (5440288).

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

4135712 is a wasteful number, since it uses less digits than its factorization.

4135712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 4135712 is about 2033.6450034359. The cubic root of 4135712 is about 160.5154211817.

It can be divided in two parts, 41 and 35712, that added together give a palindrome (35753).

The spelling of 4135712 in words is "four million, one hundred thirty-five thousand, seven hundred twelve".