4197257 has 8 divisors (see below), whose sum is σ = 4388040. Its totient is φ = 4009600.

The previous prime is 4197253. The next prime is 4197299. The reversal of 4197257 is 7527914.

It can be written as a sum of positive squares in 4 ways, for example, as 2483776 + 1713481 = 1576^2 + 1309^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4197257 - 2² = 4197253 is a prime.

It is a d-powerful number, because it can be written as 4¹¹ + 1 + 9² + 7³ + 2 + 5³ + 7⁴ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4197251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2213 + ... + 3645.

It is an arithmetic number, because the mean of its divisors is an integer number (548505).

Almost surely, 2^4197257 is an apocalyptic number.

It is an amenable number.

4197257 is a deficient number, since it is larger than the sum of its proper divisors (190783).

4197257 is a wasteful number, since it uses less digits than its factorization.

4197257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563.

The product of its digits is 17640, while the sum is 35.

The square root of 4197257 is about 2048.7208204145. The cubic root of 4197257 is about 161.3077328677.

The spelling of 4197257 in words is "four million, one hundred ninety-seven thousand, two hundred fifty-seven".