128033 has 2 divisors, whose sum is σ = 128034. Its totient is φ = 128032.

The previous prime is 128021. The next prime is 128047. The reversal of 128033 is 330821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 20449 = 328^2 + 143^2 .

It is an emirp because it is prime and its reverse (330821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 128033 - 2¹⁶ = 62497 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (128053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64016 + 64017.

It is an arithmetic number, because the mean of its divisors is an integer number (64017).

2¹²⁸⁰³³ is an apocalyptic number.

It is an amenable number.

128033 is a deficient number, since it is larger than the sum of its proper divisors (1).

128033 is an equidigital number, since it uses as much as digits as its factorization.

128033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 128033 is about 357.8169923299. The cubic root of 128033 is about 50.4011726023.

Adding to 128033 its reverse (330821), we get a palindrome (458854).

The spelling of 128033 in words is "one hundred twenty-eight thousand, thirty-three".