257461 has 4 divisors (see below), whose sum is σ = 260800. Its totient is φ = 254124.

The previous prime is 257459. The next prime is 257473. The reversal of 257461 is 164752.

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 257461 - 2¹ = 257459 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257401) 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, 1551 + ... + 1708.

It is an arithmetic number, because the mean of its divisors is an integer number (65200).

2²⁵⁷⁴⁶¹ is an apocalyptic number.

It is an amenable number.

257461 is a deficient number, since it is larger than the sum of its proper divisors (3339).

257461 is an equidigital number, since it uses as much as digits as its factorization.

257461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338.

The product of its digits is 1680, while the sum is 25.

The square root of 257461 is about 507.4061489576. The cubic root of 257461 is about 63.6166043167.

The spelling of 257461 in words is "two hundred fifty-seven thousand, four hundred sixty-one".