257941 has 4 divisors (see below), whose sum is σ = 273132. Its totient is φ = 242752.

The previous prime is 257921. The next prime is 257947. The reversal of 257941 is 149752.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 221841 + 36100 = 471^2 + 190^2 .

It is a cyclic number.

It is not a de Polignac number, because 257941 - 2¹³ = 249749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7570 + ... + 7603.

It is an arithmetic number, because the mean of its divisors is an integer number (68283).

2²⁵⁷⁹⁴¹ is an apocalyptic number.

It is an amenable number.

257941 is a deficient number, since it is larger than the sum of its proper divisors (15191).

257941 is a wasteful number, since it uses less digits than its factorization.

257941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190.

The product of its digits is 2520, while the sum is 28.

The square root of 257941 is about 507.8789225790. The cubic root of 257941 is about 63.6561145248.

The spelling of 257941 in words is "two hundred fifty-seven thousand, nine hundred forty-one".