Search a number
-
+
33273073 is a prime number
BaseRepresentation
bin111111011101…
…1010011110001
32022121110002001
41332323103301
532004214243
63145054001
7552550021
oct176732361
968543061
1033273073
1117866609
12b187301
136b7ca12
1445c1a81
152dc3a4d
hex1fbb4f1

33273073 has 2 divisors, whose sum is σ = 33273074. Its totient is φ = 33273072.

The previous prime is 33273011. The next prime is 33273089. The reversal of 33273073 is 37037233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33269824 + 3249 = 5768^2 + 57^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33273073 is a prime.

It is a super-2 number, since 2×332730732 = 2214194773726658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33273973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16636536 + 16636537.

It is an arithmetic number, because the mean of its divisors is an integer number (16636537).

Almost surely, 233273073 is an apocalyptic number.

It is an amenable number.

33273073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33273073 is an equidigital number, since it uses as much as digits as its factorization.

33273073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 28.

The square root of 33273073 is about 5768.2816332076. The cubic root of 33273073 is about 321.6357421776.

It can be divided in two parts, 3327 and 3073, that added together give a square (6400 = 802).

The spelling of 33273073 in words is "thirty-three million, two hundred seventy-three thousand, seventy-three".