328753 has 2 divisors, whose sum is σ = 328754. Its totient is φ = 328752.

The previous prime is 328721. The next prime is 328777. The reversal of 328753 is 357823.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 142129 = 432^2 + 377^2 .

It is an emirp because it is prime and its reverse (357823) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 328753 - 2⁵ = 328721 is a prime.

It is not a weakly prime, because it can be changed into another prime (325753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164376 + 164377.

It is an arithmetic number, because the mean of its divisors is an integer number (164377).

2³²⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

328753 is a deficient number, since it is larger than the sum of its proper divisors (1).

328753 is an equidigital number, since it uses as much as digits as its factorization.

328753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 28.

The square root of 328753 is about 573.3698631773. The cubic root of 328753 is about 69.0170790180.

It can be divided in two parts, 328 and 753, that added together give a triangular number (1081 = T₄₆).

The spelling of 328753 in words is "three hundred twenty-eight thousand, seven hundred fifty-three".