257841 has 6 divisors (see below), whose sum is σ = 372450. Its totient is φ = 171888.

The previous prime is 257837. The next prime is 257857. The reversal of 257841 is 148752.

It can be written as a sum of positive squares in only one way, i.e., 216225 + 41616 = 465^2 + 204^2 .

It is not a de Polignac number, because 257841 - 2² = 257837 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14316 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (62075).

2²⁵⁷⁸⁴¹ is an apocalyptic number.

It is an amenable number.

257841 is a deficient number, since it is larger than the sum of its proper divisors (114609).

257841 is a wasteful number, since it uses less digits than its factorization.

257841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28655 (or 28652 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 257841 is about 507.7804643741. The cubic root of 257841 is about 63.6478872761.

The spelling of 257841 in words is "two hundred fifty-seven thousand, eight hundred forty-one".