4097057 has 2 divisors, whose sum is σ = 4097058. Its totient is φ = 4097056.

The previous prime is 4097021. The next prime is 4097063. The reversal of 4097057 is 7507904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3936256 + 160801 = 1984^2 + 401^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097057 - 2¹⁰ = 4096033 is a prime.

It is a super-2 number, since 2×4097057² = 33571752122498, which contains 22 as substring.

It is equal to p₂₈₉₅₈₀ and since 4097057 and 289580 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (4097077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048528 + 2048529.

It is an arithmetic number, because the mean of its divisors is an integer number (2048529).

Almost surely, 2^4097057 is an apocalyptic number.

It is an amenable number.

4097057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097057 is an equidigital number, since it uses as much as digits as its factorization.

4097057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 4097057 is about 2024.1188206229. The cubic root of 4097057 is about 160.0137618371.

The spelling of 4097057 in words is "four million, ninety-seven thousand, fifty-seven".