4271085 has 72 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 1790208.

The previous prime is 4271081. The next prime is 4271117. The reversal of 4271085 is 5801724.

4271085 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 4235364 = 189^2 + 2058^2 .

It is not a de Polignac number, because 4271085 - 2² = 4271081 is a prime.

4271085 is a lucky number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4271081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28591 + ... + 28739.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

Almost surely, 2^4271085 is an apocalyptic number.

4271085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4271085 is an abundant number, since it is smaller than the sum of its proper divisors (5065515).

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

4271085 is a wasteful number, since it uses less digits than its factorization.

4271085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4271085 is about 2066.6603494527. The cubic root of 4271085 is about 162.2480197257.

The spelling of 4271085 in words is "four million, two hundred seventy-one thousand, eighty-five".