257004 has 54 divisors (see below), whose sum is σ = 726180. Its totient is φ = 76560.

The previous prime is 257003. The next prime is 257017. The reversal of 257004 is 400752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257004.

It is not an unprimeable number, because it can be changed into a prime (257003) 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 17 ways as a sum of consecutive naturals, for example, 4327 + ... + 4385.

2²⁵⁷⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363090).

257004 is an abundant number, since it is smaller than the sum of its proper divisors (469176).

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

257004 is a wasteful number, since it uses less digits than its factorization.

257004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 257004 is about 506.9556193593. The cubic root of 257004 is about 63.5789416458.

Adding to 257004 its reverse (400752), we get a palindrome (657756).

The spelling of 257004 in words is "two hundred fifty-seven thousand, four".