257958 has 32 divisors (see below), whose sum is σ = 609120. Its totient is φ = 80640.

The previous prime is 257953. The next prime is 257981. The reversal of 257958 is 859752.

It is a d-powerful number, because it can be written as 2 + 5⁵ + 9⁵ + 7⁶ + 5⁷ + 8 .

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 257958.

It is not an unprimeable number, because it can be changed into a prime (257953) by changing a digit.

257958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 778 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (19035).

2²⁵⁷⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304560).

257958 is an abundant number, since it is smaller than the sum of its proper divisors (351162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257958 is a wasteful number, since it uses less digits than its factorization.

257958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 257958 is about 507.8956585757. The cubic root of 257958 is about 63.6575129456.

The spelling of 257958 in words is "two hundred fifty-seven thousand, nine hundred fifty-eight".