257330 has 8 divisors (see below), whose sum is σ = 463212. Its totient is φ = 102928.

The previous prime is 257321. The next prime is 257339. The reversal of 257330 is 33752.

It is an interprime number because it is at equal distance from previous prime (257321) and next prime (257339).

It can be written as a sum of positive squares in 2 ways, for example, as 229441 + 27889 = 479^2 + 167^2 .

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

It is a d-powerful number, because it can be written as 2¹¹ + 5⁷ + 3 + 7 + 3¹¹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (257339) by changing a digit.

257330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 12857 + ... + 12876.

2²⁵⁷³³⁰ is an apocalyptic number.

257330 is a deficient number, since it is larger than the sum of its proper divisors (205882).

257330 is a wasteful number, since it uses less digits than its factorization.

257330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25740.

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 257330 is about 507.2770446216. The cubic root of 257330 is about 63.6058127936.

The spelling of 257330 in words is "two hundred fifty-seven thousand, three hundred thirty".