Search a number
-
+
67730137 is a prime number
BaseRepresentation
bin1000000100101…
…11101011011001
311201110001021121
410002113223121
5114314331022
610415405241
71451460646
oct402275331
9151401247
1067730137
1135260722
121a823821
1311055607
148dd0dcd
155e2d2c7
hex4097ad9

67730137 has 2 divisors, whose sum is σ = 67730138. Its totient is φ = 67730136.

The previous prime is 67730111. The next prime is 67730141. The reversal of 67730137 is 73103776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38180041 + 29550096 = 6179^2 + 5436^2 .

It is a cyclic number.

It is not a de Polignac number, because 67730137 - 219 = 67205849 is a prime.

It is not a weakly prime, because it can be changed into another prime (67730177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33865068 + 33865069.

It is an arithmetic number, because the mean of its divisors is an integer number (33865069).

Almost surely, 267730137 is an apocalyptic number.

It is an amenable number.

67730137 is a deficient number, since it is larger than the sum of its proper divisors (1).

67730137 is an equidigital number, since it uses as much as digits as its factorization.

67730137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522, while the sum is 34.

The square root of 67730137 is about 8229.8321368057. The cubic root of 67730137 is about 407.6248493959.

The spelling of 67730137 in words is "sixty-seven million, seven hundred thirty thousand, one hundred thirty-seven".