42457 has 2 divisors, whose sum is σ = 42458. Its totient is φ = 42456.

The previous prime is 42451. The next prime is 42461. The reversal of 42457 is 75424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 841 = 204^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 42457 - 2¹⁵ = 9689 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (42451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21228 + 21229.

It is an arithmetic number, because the mean of its divisors is an integer number (21229).

2⁴²⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

42457 is a deficient number, since it is larger than the sum of its proper divisors (1).

42457 is an equidigital number, since it uses as much as digits as its factorization.

42457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 22.

The square root of 42457 is about 206.0509645694. The cubic root of 42457 is about 34.8858868560.

The spelling of 42457 in words is "forty-two thousand, four hundred fifty-seven".