328801 has 8 divisors (see below), whose sum is σ = 364608. Its totient is φ = 294000.

The previous prime is 328789. The next prime is 328813. The reversal of 328801 is 108823.

It is an interprime number because it is at equal distance from previous prime (328789) and next prime (328813).

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

It is a cyclic number.

It is not a de Polignac number, because 328801 - 2¹³ = 320609 is a prime.

It is a super-2 number, since 2×328801² = 216220195202, which contains 22 as substring.

It is a Duffinian number.

328801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (328891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (45576).

2³²⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

328801 is a deficient number, since it is larger than the sum of its proper divisors (35807).

328801 is a wasteful number, since it uses less digits than its factorization.

328801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 328801 is about 573.4117194477. The cubic root of 328801 is about 69.0204378300.

Adding to 328801 its sum of digits (22), we get a palindrome (328823).

The spelling of 328801 in words is "three hundred twenty-eight thousand, eight hundred one".