257082929 has 2 divisors, whose sum is σ = 257082930. Its totient is φ = 257082928.

The previous prime is 257082923. The next prime is 257082967. The reversal of 257082929 is 929280752.

257082929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242642929 + 14440000 = 15577^2 + 3800^2 .

It is a cyclic number.

It is not a de Polignac number, because 257082929 - 2²⁰ = 256034353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257082929.

It is not a weakly prime, because it can be changed into another prime (257082923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128541464 + 128541465.

It is an arithmetic number, because the mean of its divisors is an integer number (128541465).

Almost surely, 2^257082929 is an apocalyptic number.

It is an amenable number.

257082929 is a deficient number, since it is larger than the sum of its proper divisors (1).

257082929 is an equidigital number, since it uses as much as digits as its factorization.

257082929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 257082929 is about 16033.8058177090. The cubic root of 257082929 is about 635.8544959719.

The spelling of 257082929 in words is "two hundred fifty-seven million, eighty-two thousand, nine hundred twenty-nine".