Search a number
-
+
33280133 is a prime number
BaseRepresentation
bin111111011110…
…1000010000101
32022121210202112
41332331002011
532004431013
63145150405
7552606425
oct176750205
968553675
1033280133
1117870947
12b18b405
136b82cb3
1445c4485
152dc5ba8
hex1fbd085

33280133 has 2 divisors, whose sum is σ = 33280134. Its totient is φ = 33280132.

The previous prime is 33280129. The next prime is 33280171. The reversal of 33280133 is 33108233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25623844 + 7656289 = 5062^2 + 2767^2 .

It is an emirp because it is prime and its reverse (33108233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33280133 - 22 = 33280129 is a prime.

It is a super-2 number, since 2×332801332 = 2215134504995378, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33280099 and 33280108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33280123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16640066 + 16640067.

It is an arithmetic number, because the mean of its divisors is an integer number (16640067).

Almost surely, 233280133 is an apocalyptic number.

It is an amenable number.

33280133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33280133 is an equidigital number, since it uses as much as digits as its factorization.

33280133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 33280133 is about 5768.8935680943. The cubic root of 33280133 is about 321.6584891774.

Adding to 33280133 its reverse (33108233), we get a palindrome (66388366).

The spelling of 33280133 in words is "thirty-three million, two hundred eighty thousand, one hundred thirty-three".