41257 has 2 divisors, whose sum is σ = 41258. Its totient is φ = 41256.

The previous prime is 41243. The next prime is 41263. The reversal of 41257 is 75214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32041 + 9216 = 179^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 41257 - 2¹¹ = 39209 is a prime.

It is not a weakly prime, because it can be changed into another prime (41227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20628 + 20629.

It is an arithmetic number, because the mean of its divisors is an integer number (20629).

2⁴¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

41257 is a deficient number, since it is larger than the sum of its proper divisors (1).

41257 is an equidigital number, since it uses as much as digits as its factorization.

41257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280, while the sum is 19.

The square root of 41257 is about 203.1181921936. The cubic root of 41257 is about 34.5540705026.

The spelling of 41257 in words is "forty-one thousand, two hundred fifty-seven".