257201 has 12 divisors (see below), whose sum is σ = 311220. Its totient is φ = 211680.

The previous prime is 257189. The next prime is 257219. The reversal of 257201 is 102752.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 207025 = 224^2 + 455^2 .

It is a de Polignac number, because none of the positive numbers 2^k-257201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257201.

It is not an unprimeable number, because it can be changed into a prime (257221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2²⁵⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

257201 is a deficient number, since it is larger than the sum of its proper divisors (54019).

257201 is a wasteful number, since it uses less digits than its factorization.

257201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 257201 is about 507.1498792270. The cubic root of 257201 is about 63.5951824470.

Adding to 257201 its reverse (102752), we get a palindrome (359953).

Subtracting from 257201 its reverse (102752), we obtain a square (154449 = 393²).

The spelling of 257201 in words is "two hundred fifty-seven thousand, two hundred one".