4135257 has 18 divisors (see below), whose sum is σ = 6949098. Its totient is φ = 2362752.

The previous prime is 4135249. The next prime is 4135273. The reversal of 4135257 is 7525314.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2752281 + 1382976 = 1659^2 + 1176^2 .

It is not a de Polignac number, because 4135257 - 2³ = 4135249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4135257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135237) 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 17 ways as a sum of consecutive naturals, for example, 4248 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (386061).

Almost surely, 2^4135257 is an apocalyptic number.

It is an amenable number.

4135257 is a deficient number, since it is larger than the sum of its proper divisors (2813841).

4135257 is a wasteful number, since it uses less digits than its factorization.

4135257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9387 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 4135257 is about 2033.5331322602. The cubic root of 4135257 is about 160.5095344730.

The spelling of 4135257 in words is "four million, one hundred thirty-five thousand, two hundred fifty-seven".