257541 has 4 divisors (see below), whose sum is σ = 343392. Its totient is φ = 171692.

The previous prime is 257539. The next prime is 257561. The reversal of 257541 is 145752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257541 - 2¹ = 257539 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42921 + ... + 42926.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

2²⁵⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

257541 is a deficient number, since it is larger than the sum of its proper divisors (85851).

257541 is an equidigital number, since it uses as much as digits as its factorization.

257541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85850.

The product of its digits is 1400, while the sum is 24.

The square root of 257541 is about 507.4849751470. The cubic root of 257541 is about 63.6231927597.

The spelling of 257541 in words is "two hundred fifty-seven thousand, five hundred forty-one".