257822329 has 2 divisors, whose sum is σ = 257822330. Its totient is φ = 257822328.

The previous prime is 257822317. The next prime is 257822347. The reversal of 257822329 is 923228752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196560400 + 61261929 = 14020^2 + 7827^2 .

It is a cyclic number.

It is not a de Polignac number, because 257822329 - 2⁵ = 257822297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257822291 and 257822300.

It is not a weakly prime, because it can be changed into another prime (257822359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128911164 + 128911165.

It is an arithmetic number, because the mean of its divisors is an integer number (128911165).

Almost surely, 2^257822329 is an apocalyptic number.

It is an amenable number.

257822329 is a deficient number, since it is larger than the sum of its proper divisors (1).

257822329 is an equidigital number, since it uses as much as digits as its factorization.

257822329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 40.

The square root of 257822329 is about 16056.8467950591. The cubic root of 257822329 is about 636.4635093087.

The spelling of 257822329 in words is "two hundred fifty-seven million, eight hundred twenty-two thousand, three hundred twenty-nine".