42257 has 2 divisors, whose sum is σ = 42258. Its totient is φ = 42256.

The previous prime is 42239. The next prime is 42281. The reversal of 42257 is 75224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36481 + 5776 = 191^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 42257 - 2⁶ = 42193 is a prime.

It is a Chen prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (42227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21128 + 21129.

It is an arithmetic number, because the mean of its divisors is an integer number (21129).

2⁴²²⁵⁷ is an apocalyptic number.

It is an amenable number.

42257 is a deficient number, since it is larger than the sum of its proper divisors (1).

42257 is an equidigital number, since it uses as much as digits as its factorization.

42257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 560, while the sum is 20.

The square root of 42257 is about 205.5650748547. The cubic root of 42257 is about 34.8310222337.

The spelling of 42257 in words is "forty-two thousand, two hundred fifty-seven".