Search a number
-
+
33301 is a prime number
BaseRepresentation
bin1000001000010101
31200200101
420020111
52031201
6414101
7166042
oct101025
950611
1033301
1123024
1217331
1312208
14c1c9
159d01
hex8215

33301 has 2 divisors, whose sum is σ = 33302. Its totient is φ = 33300.

The previous prime is 33289. The next prime is 33311. The reversal of 33301 is 10333.

Adding to 33301 its reverse (10333), we get a palindrome (43634).

It is a happy number.

It is the 75-th star number.

It is an a-pointer prime, because the next prime (33311) can be obtained adding 33301 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 3025 = 174^2 + 55^2 .

It is an emirp because it is prime and its reverse (10333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33301 - 29 = 32789 is a prime.

It is a super-2 number, since 2×333012 = 2217913202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33311) 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 as a sum of consecutive naturals, namely, 16650 + 16651.

It is an arithmetic number, because the mean of its divisors is an integer number (16651).

233301 is an apocalyptic number.

It is an amenable number.

33301 is a deficient number, since it is larger than the sum of its proper divisors (1).

33301 is an equidigital number, since it uses as much as digits as its factorization.

33301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 33301 is about 182.4856158715. The cubic root of 33301 is about 32.1725702905.

The spelling of 33301 in words is "thirty-three thousand, three hundred one".