257612717 has 8 divisors (see below), whose sum is σ = 264314232. Its totient is φ = 250931200.

The previous prime is 257612689. The next prime is 257612723. The reversal of 257612717 is 717216752.

It can be written as a sum of positive squares in 4 ways, for example, as 104571076 + 153041641 = 10226^2 + 12371^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257612717 - 2⁶ = 257612653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257614717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23117 + ... + 32397.

It is an arithmetic number, because the mean of its divisors is an integer number (33039279).

Almost surely, 2^257612717 is an apocalyptic number.

It is an amenable number.

257612717 is a deficient number, since it is larger than the sum of its proper divisors (6701515).

257612717 is an equidigital number, since it uses as much as digits as its factorization.

257612717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999.

The product of its digits is 41160, while the sum is 38.

The square root of 257612717 is about 16050.3182834485. The cubic root of 257612717 is about 636.2909789198.

The spelling of 257612717 in words is "two hundred fifty-seven million, six hundred twelve thousand, seven hundred seventeen".