257071 has 4 divisors (see below), whose sum is σ = 268272. Its totient is φ = 245872.

The previous prime is 257069. The next prime is 257077. The reversal of 257071 is 170752.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 257071 - 2¹ = 257069 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257077) 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, 5566 + ... + 5611.

It is an arithmetic number, because the mean of its divisors is an integer number (67068).

2²⁵⁷⁰⁷¹ is an apocalyptic number.

257071 is a deficient number, since it is larger than the sum of its proper divisors (11201).

257071 is a wasteful number, since it uses less digits than its factorization.

257071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 257071 is about 507.0216957883. The cubic root of 257071 is about 63.5844660980.

Subtracting from 257071 its sum of digits (22), we obtain a square (257049 = 507²).

The spelling of 257071 in words is "two hundred fifty-seven thousand, seventy-one".