257001 has 4 divisors (see below), whose sum is σ = 342672. Its totient is φ = 171332.

The previous prime is 256981. The next prime is 257003. The reversal of 257001 is 100752.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257001 - 2⁷ = 256873 is a prime.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257001.

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 3 ways as a sum of consecutive naturals, for example, 42831 + ... + 42836.

It is an arithmetic number, because the mean of its divisors is an integer number (85668).

2²⁵⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

257001 is a deficient number, since it is larger than the sum of its proper divisors (85671).

257001 is an equidigital number, since it uses as much as digits as its factorization.

257001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85670.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 257001 is about 506.9526605118. The cubic root of 257001 is about 63.5786942598.

Adding to 257001 its reverse (100752), we get a palindrome (357753).

The spelling of 257001 in words is "two hundred fifty-seven thousand, one".