257273 has 2 divisors, whose sum is σ = 257274. Its totient is φ = 257272.

The previous prime is 257263. The next prime is 257281. The reversal of 257273 is 372752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162409 + 94864 = 403^2 + 308^2 .

It is a cyclic number.

It is not a de Polignac number, because 257273 - 2⁸ = 257017 is a prime.

It is not a weakly prime, because it can be changed into another prime (257263) 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 as a sum of consecutive naturals, namely, 128636 + 128637.

It is an arithmetic number, because the mean of its divisors is an integer number (128637).

2²⁵⁷²⁷³ is an apocalyptic number.

It is an amenable number.

257273 is a deficient number, since it is larger than the sum of its proper divisors (1).

257273 is an equidigital number, since it uses as much as digits as its factorization.

257273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2940, while the sum is 26.

The square root of 257273 is about 507.2208591925. The cubic root of 257273 is about 63.6011161019.

It can be divided in two parts, 2 and 57273, that added together give a palindrome (57275).

The spelling of 257273 in words is "two hundred fifty-seven thousand, two hundred seventy-three".