4097257 has 2 divisors, whose sum is σ = 4097258. Its totient is φ = 4097256.

The previous prime is 4097231. The next prime is 4097263. The reversal of 4097257 is 7527904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2499561 + 1597696 = 1581^2 + 1264^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4097257 is a prime.

It is not a weakly prime, because it can be changed into another prime (4097227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048628 + 2048629.

It is an arithmetic number, because the mean of its divisors is an integer number (2048629).

Almost surely, 2^4097257 is an apocalyptic number.

It is an amenable number.

4097257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097257 is an equidigital number, since it uses as much as digits as its factorization.

4097257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 4097257 is about 2024.1682242343. The cubic root of 4097257 is about 160.0163655135.

The spelling of 4097257 in words is "four million, ninety-seven thousand, two hundred fifty-seven".