257672241 has 12 divisors (see below), whose sum is σ = 372337732. Its totient is φ = 171714816.

The previous prime is 257672231. The next prime is 257672251. The reversal of 257672241 is 142276752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257672231) and next prime (257672251).

It can be written as a sum of positive squares in 2 ways, for example, as 218921616 + 38750625 = 14796^2 + 6225^2 .

It is not a de Polignac number, because 257672241 - 2⁵ = 257672209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257672196 and 257672205.

It is not an unprimeable number, because it can be changed into a prime (257672201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32985 + ... + 40041.

Almost surely, 2^257672241 is an apocalyptic number.

It is an amenable number.

257672241 is a deficient number, since it is larger than the sum of its proper divisors (114665491).

257672241 is a wasteful number, since it uses less digits than its factorization.

257672241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120 (or 11117 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 257672241 is about 16052.1724697936. The cubic root of 257672241 is about 636.3399822816.

The spelling of 257672241 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, two hundred forty-one".