257141 has 2 divisors, whose sum is σ = 257142. Its totient is φ = 257140.

The previous prime is 257123. The next prime is 257161. The reversal of 257141 is 141752.

It is an a-pointer prime, because the next prime (257161) can be obtained adding 257141 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255025 + 2116 = 505^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 257141 - 2⁶ = 257077 is a prime.

It is a super-2 number, since 2×257141² = 132242987762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128570 + 128571.

It is an arithmetic number, because the mean of its divisors is an integer number (128571).

2²⁵⁷¹⁴¹ is an apocalyptic number.

It is an amenable number.

257141 is a deficient number, since it is larger than the sum of its proper divisors (1).

257141 is an equidigital number, since it uses as much as digits as its factorization.

257141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280, while the sum is 20.

The square root of 257141 is about 507.0907216663. The cubic root of 257141 is about 63.5902368886.

Adding to 257141 its reverse (141752), we get a palindrome (398893).

The spelling of 257141 in words is "two hundred fifty-seven thousand, one hundred forty-one".