257917241 has 8 divisors (see below), whose sum is σ = 266559744. Its totient is φ = 249294960.

The previous prime is 257917207. The next prime is 257917259. The reversal of 257917241 is 142719752.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257917241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257917195 and 257917204.

It is not an unprimeable number, because it can be changed into a prime (257917201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23531 + ... + 32703.

It is an arithmetic number, because the mean of its divisors is an integer number (33319968).

Almost surely, 2^257917241 is an apocalyptic number.

It is an amenable number.

257917241 is a deficient number, since it is larger than the sum of its proper divisors (8642503).

257917241 is an equidigital number, since it uses as much as digits as its factorization.

257917241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111.

The product of its digits is 35280, while the sum is 38.

The square root of 257917241 is about 16059.8020224410. The cubic root of 257917241 is about 636.5416000540.

The spelling of 257917241 in words is "two hundred fifty-seven million, nine hundred seventeen thousand, two hundred forty-one".