Search a number
-
+
33071369 is a prime number
BaseRepresentation
bin111111000101…
…0000100001001
32022020012101112
41332022010021
531431240434
63140500105
7551046662
oct176120411
968205345
1033071369
1117739011
12b0aa635
136b0bc76
14456c369
152d83dce
hex1f8a109

33071369 has 2 divisors, whose sum is σ = 33071370. Its totient is φ = 33071368.

The previous prime is 33071359. The next prime is 33071383. The reversal of 33071369 is 96317033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18593344 + 14478025 = 4312^2 + 3805^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33071369 is a prime.

It is a super-2 number, since 2×330713692 = 2187430895068322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33071359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16535684 + 16535685.

It is an arithmetic number, because the mean of its divisors is an integer number (16535685).

Almost surely, 233071369 is an apocalyptic number.

It is an amenable number.

33071369 is a deficient number, since it is larger than the sum of its proper divisors (1).

33071369 is an equidigital number, since it uses as much as digits as its factorization.

33071369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 32.

The square root of 33071369 is about 5750.7711656786. The cubic root of 33071369 is about 320.9844973314.

The spelling of 33071369 in words is "thirty-three million, seventy-one thousand, three hundred sixty-nine".