257361 has 8 divisors (see below), whose sum is σ = 369600. Its totient is φ = 158352.

The previous prime is 257353. The next prime is 257371. The reversal of 257361 is 163752.

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

It is not a de Polignac number, because 257361 - 2³ = 257353 is a prime.

257361 is a lucky number.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257361.

It is not an unprimeable number, because it can be changed into a prime (257311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3261 + ... + 3338.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2²⁵⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

257361 is a deficient number, since it is larger than the sum of its proper divisors (112239).

257361 is a wasteful number, since it uses less digits than its factorization.

257361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615.

The product of its digits is 1260, while the sum is 24.

The square root of 257361 is about 507.3075989969. The cubic root of 257361 is about 63.6083668436.

The spelling of 257361 in words is "two hundred fifty-seven thousand, three hundred sixty-one".