257961 has 8 divisors (see below), whose sum is σ = 375264. Its totient is φ = 156320.

The previous prime is 257953. The next prime is 257981. The reversal of 257961 is 169752.

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 257961 - 2³ = 257953 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257961.

It is not an unprimeable number, because it can be changed into a prime (257921) 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 7 ways as a sum of consecutive naturals, for example, 3876 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (46908).

2²⁵⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

257961 is a deficient number, since it is larger than the sum of its proper divisors (117303).

257961 is a wasteful number, since it uses less digits than its factorization.

257961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831.

The product of its digits is 3780, while the sum is 30.

The square root of 257961 is about 507.8986119296. The cubic root of 257961 is about 63.6577597194.

Subtracting from 257961 its reverse (169752), we obtain a square (88209 = 297²).

The spelling of 257961 in words is "two hundred fifty-seven thousand, nine hundred sixty-one".