257000 has 32 divisors (see below), whose sum is σ = 603720. Its totient is φ = 102400.

The previous prime is 256981. The next prime is 257003. The reversal of 257000 is 752.

It can be written as a sum of positive squares in 4 ways, for example, as 158404 + 98596 = 398^2 + 314^2 .

It is not an unprimeable number, because it can be changed into a prime (257003) by changing a digit.

257000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872 + ... + 1128.

2²⁵⁷⁰⁰⁰ is an apocalyptic number.

257000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301860).

257000 is an abundant number, since it is smaller than the sum of its proper divisors (346720).

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

257000 is a wasteful number, since it uses less digits than its factorization.

257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 257000 is about 506.9516742255. The cubic root of 257000 is about 63.5786117973.

Adding to 257000 its reverse (752), we get a palindrome (257752).

The spelling of 257000 in words is "two hundred fifty-seven thousand".