257959 has 4 divisors (see below), whose sum is σ = 277816. Its totient is φ = 238104.

The previous prime is 257953. The next prime is 257981. The reversal of 257959 is 959752.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 257959 - 2⁹ = 257447 is a prime.

It is a d-powerful number, because it can be written as 2 + 5⁵ + 9 + 7⁶ + 5⁷ + 9⁵ .

It is a Duffinian number.

It is a plaindrome in base 11.

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 3 ways as a sum of consecutive naturals, for example, 9909 + ... + 9934.

It is an arithmetic number, because the mean of its divisors is an integer number (69454).

2²⁵⁷⁹⁵⁹ is an apocalyptic number.

257959 is a deficient number, since it is larger than the sum of its proper divisors (19857).

257959 is a wasteful number, since it uses less digits than its factorization.

257959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19856.

The product of its digits is 28350, while the sum is 37.

The square root of 257959 is about 507.8966430289. The cubic root of 257959 is about 63.6575952037.

The spelling of 257959 in words is "two hundred fifty-seven thousand, nine hundred fifty-nine".