328257 has 6 divisors (see below), whose sum is σ = 474162. Its totient is φ = 218832.

The previous prime is 328249. The next prime is 328271. The reversal of 328257 is 752823.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 62001 = 516^2 + 249^2 .

It is not a de Polignac number, because 328257 - 2³ = 328249 is a prime.

It is a d-powerful number, because it can be written as 3¹¹ + 2² + 2¹⁵ + 8² + 5⁴ + 7⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 328257.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328257.

It is not an unprimeable number, because it can be changed into a prime (328277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18228 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (79027).

2³²⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

328257 is a deficient number, since it is larger than the sum of its proper divisors (145905).

328257 is a wasteful number, since it uses less digits than its factorization.

328257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36479 (or 36476 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 328257 is about 572.9371693301. The cubic root of 328257 is about 68.9823521344.

It can be divided in two parts, 328 and 257, that added together give a palindrome (585).

The spelling of 328257 in words is "three hundred twenty-eight thousand, two hundred fifty-seven".