257473 has 2 divisors, whose sum is σ = 257474. Its totient is φ = 257472.

The previous prime is 257459. The next prime is 257489. The reversal of 257473 is 374752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150544 + 106929 = 388^2 + 327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257473 is a prime.

257473 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (257443) 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 as a sum of consecutive naturals, namely, 128736 + 128737.

It is an arithmetic number, because the mean of its divisors is an integer number (128737).

2²⁵⁷⁴⁷³ is an apocalyptic number.

It is an amenable number.

257473 is a deficient number, since it is larger than the sum of its proper divisors (1).

257473 is an equidigital number, since it uses as much as digits as its factorization.

257473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 28.

The square root of 257473 is about 507.4179736667. The cubic root of 257473 is about 63.6175926702.

It can be divided in two parts, 2 and 57473, that added together give a palindrome (57475).

The spelling of 257473 in words is "two hundred fifty-seven thousand, four hundred seventy-three".