397057 has 2 divisors, whose sum is σ = 397058. Its totient is φ = 397056.

The previous prime is 397051. The next prime is 397063. The reversal of 397057 is 750793.

It is a balanced prime because it is at equal distance from previous prime (397051) and next prime (397063).

It can be written as a sum of positive squares in only one way, i.e., 318096 + 78961 = 564^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 397057 - 2¹⁵ = 364289 is a prime.

It is a super-2 number, since 2×397057² = 315308522498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (397051) 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 as a sum of consecutive naturals, namely, 198528 + 198529.

It is an arithmetic number, because the mean of its divisors is an integer number (198529).

2³⁹⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

397057 is a deficient number, since it is larger than the sum of its proper divisors (1).

397057 is an equidigital number, since it uses as much as digits as its factorization.

397057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615, while the sum is 31.

The square root of 397057 is about 630.1245908549. The cubic root of 397057 is about 73.4994832364.

The spelling of 397057 in words is "three hundred ninety-seven thousand, fifty-seven".