257006 has 8 divisors (see below), whose sum is σ = 408240. Its totient is φ = 120928.

The previous prime is 257003. The next prime is 257017. The reversal of 257006 is 600752.

It is a sphenic number, since it is the product of 3 distinct primes.

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 257006.

It is not an unprimeable number, because it can be changed into a prime (257003) 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, 3746 + ... + 3813.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2²⁵⁷⁰⁰⁶ is an apocalyptic number.

257006 is a deficient number, since it is larger than the sum of its proper divisors (151234).

257006 is a wasteful number, since it uses less digits than its factorization.

257006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 257006 is about 506.9575919147. The cubic root of 257006 is about 63.5791065687.

Adding to 257006 its reverse (600752), we get a palindrome (857758).

The spelling of 257006 in words is "two hundred fifty-seven thousand, six".