257951 has 8 divisors (see below), whose sum is σ = 273024. Its totient is φ = 243360.

The previous prime is 257947. The next prime is 257953. The reversal of 257951 is 159752.

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 257951 - 2² = 257947 is a prime.

It is a d-powerful number, because it can be written as 2 + 5⁵ + 9⁵ + 7⁶ + 5⁷ + 1 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257953) 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, 1565 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (34128).

2²⁵⁷⁹⁵¹ is an apocalyptic number.

257951 is a deficient number, since it is larger than the sum of its proper divisors (15073).

257951 is a wasteful number, since it uses less digits than its factorization.

257951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its digits is 3150, while the sum is 29.

The square root of 257951 is about 507.8887673497. Note that the first 3 decimals coincide. The cubic root of 257951 is about 63.6569371327.

The spelling of 257951 in words is "two hundred fifty-seven thousand, nine hundred fifty-one".