Search a number
-
+
67740973 is a prime number
BaseRepresentation
bin1000000100110…
…10010100101101
311201110121010221
410002122110231
5114320202343
610415531341
71451534356
oct402322455
9151417127
1067740973
1135268883
121a829b51
131105a521
148dd4d2d
155e315ed
hex409a52d

67740973 has 2 divisors, whose sum is σ = 67740974. Its totient is φ = 67740972.

The previous prime is 67740949. The next prime is 67740977. The reversal of 67740973 is 37904776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34597924 + 33143049 = 5882^2 + 5757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67740973 is a prime.

It is equal to p3992983 and since 67740973 and 3992983 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67740977) 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, 33870486 + 33870487.

It is an arithmetic number, because the mean of its divisors is an integer number (33870487).

Almost surely, 267740973 is an apocalyptic number.

It is an amenable number.

67740973 is a deficient number, since it is larger than the sum of its proper divisors (1).

67740973 is an equidigital number, since it uses as much as digits as its factorization.

67740973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 222264, while the sum is 43.

The square root of 67740973 is about 8230.4904471119. The cubic root of 67740973 is about 407.6465865798.

The spelling of 67740973 in words is "sixty-seven million, seven hundred forty thousand, nine hundred seventy-three".