57457 has 2 divisors, whose sum is σ = 57458. Its totient is φ = 57456.

The previous prime is 57427. The next prime is 57467. The reversal of 57457 is 75475.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 4096 = 231^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 57457 - 2⁷ = 57329 is a prime.

It is not a weakly prime, because it can be changed into another prime (57427) 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, 28728 + 28729.

It is an arithmetic number, because the mean of its divisors is an integer number (28729).

2⁵⁷⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

57457 is a deficient number, since it is larger than the sum of its proper divisors (1).

57457 is an equidigital number, since it uses as much as digits as its factorization.

57457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4900, while the sum is 28.

The square root of 57457 is about 239.7018981986. The cubic root of 57457 is about 38.5875894132.

The spelling of 57457 in words is "fifty-seven thousand, four hundred fifty-seven".