257761 has 8 divisors (see below), whose sum is σ = 307584. Its totient is φ = 211200.

The previous prime is 257731. The next prime is 257783. The reversal of 257761 is 167752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257761 - 2⁹ = 257249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (38448).

2²⁵⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

257761 is a deficient number, since it is larger than the sum of its proper divisors (49823).

257761 is a wasteful number, since it uses less digits than its factorization.

257761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631.

The product of its digits is 2940, while the sum is 28.

The square root of 257761 is about 507.7016840626. The cubic root of 257761 is about 63.6413039455.

Subtracting from 257761 its reverse (167752), we obtain a palindrome (90009).

The spelling of 257761 in words is "two hundred fifty-seven thousand, seven hundred sixty-one".