257683841 has 8 divisors (see below), whose sum is σ = 272983680. Its totient is φ = 242399808.

The previous prime is 257683837. The next prime is 257683847. The reversal of 257683841 is 148386752.

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 257683841 - 2² = 257683837 is a prime.

It is a super-3 number, since 3×257683841³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257683792 and 257683801.

It is not an unprimeable number, because it can be changed into a prime (257683847) 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, 54140 + ... + 58706.

It is an arithmetic number, because the mean of its divisors is an integer number (34122960).

Almost surely, 2^257683841 is an apocalyptic number.

It is an amenable number.

257683841 is a deficient number, since it is larger than the sum of its proper divisors (15299839).

257683841 is a wasteful number, since it uses less digits than its factorization.

257683841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903.

The product of its digits is 322560, while the sum is 44.

The square root of 257683841 is about 16052.5337875365. The cubic root of 257683841 is about 636.3495311475.

The spelling of 257683841 in words is "two hundred fifty-seven million, six hundred eighty-three thousand, eight hundred forty-one".