328833 has 16 divisors (see below), whose sum is σ = 513600. Its totient is φ = 207360.

The previous prime is 328829. The next prime is 328837. The reversal of 328833 is 338823.

It is an interprime number because it is at equal distance from previous prime (328829) and next prime (328837).

It is not a de Polignac number, because 328833 - 2² = 328829 is a prime.

It is a super-2 number, since 2×328833² = 216262283778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 328797 and 328806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328837) 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 15 ways as a sum of consecutive naturals, for example, 193 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (32100).

2³²⁸⁸³³ is an apocalyptic number.

It is an amenable number.

328833 is a deficient number, since it is larger than the sum of its proper divisors (184767).

328833 is a wasteful number, since it uses less digits than its factorization.

328833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 328833 is about 573.4396219307. The cubic root of 328833 is about 69.0226768565.

It can be divided in two parts, 3288 and 33, that added together give a triangular number (3321 = T₈₁).

The spelling of 328833 in words is "three hundred twenty-eight thousand, eight hundred thirty-three".