257714735 has 16 divisors (see below), whose sum is σ = 324440640. Its totient is φ = 196250880.

The previous prime is 257714711. The next prime is 257714753. The reversal of 257714735 is 537417752.

It is not a de Polignac number, because 257714735 - 2⁶ = 257714671 is a prime.

It is a super-2 number, since 2×257714735² = 132833769272240450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257714692 and 257714701.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 2222 + ... + 22811.

It is an arithmetic number, because the mean of its divisors is an integer number (20277540).

Almost surely, 2^257714735 is an apocalyptic number.

257714735 is a deficient number, since it is larger than the sum of its proper divisors (66725905).

257714735 is a wasteful number, since it uses less digits than its factorization.

257714735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25138.

The product of its digits is 205800, while the sum is 41.

The square root of 257714735 is about 16053.4960366893. The cubic root of 257714735 is about 636.3749610137.

The spelling of 257714735 in words is "two hundred fifty-seven million, seven hundred fourteen thousand, seven hundred thirty-five".