Search a number
-
+
67984193 is a prime number
BaseRepresentation
bin1000000110101…
…01101101000001
311201220221210002
410003111231001
5114400443233
610425045345
71453566434
oct403255501
9151827702
1067984193
1135414592
121a926855
1311114144
14905981b
155e7d6e8
hex40d5b41

67984193 has 2 divisors, whose sum is σ = 67984194. Its totient is φ = 67984192.

The previous prime is 67984177. The next prime is 67984199. The reversal of 67984193 is 39148976.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63091249 + 4892944 = 7943^2 + 2212^2 .

It is a cyclic number.

It is not a de Polignac number, because 67984193 - 24 = 67984177 is a prime.

It is a super-2 number, since 2×679841932 = 9243700995722498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67984199) 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, 33992096 + 33992097.

It is an arithmetic number, because the mean of its divisors is an integer number (33992097).

Almost surely, 267984193 is an apocalyptic number.

It is an amenable number.

67984193 is a deficient number, since it is larger than the sum of its proper divisors (1).

67984193 is an equidigital number, since it uses as much as digits as its factorization.

67984193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 47.

The square root of 67984193 is about 8245.2527553738. The cubic root of 67984193 is about 408.1338809162.

The spelling of 67984193 in words is "sixty-seven million, nine hundred eighty-four thousand, one hundred ninety-three".