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164378017 is a prime number
BaseRepresentation
bin10011100110000…
…11010110100001
3102110022021020201
421303003112201
5314040044032
624151105201
74034122126
oct1163032641
9373267221
10164378017
1184872701
1247072201
13280943cb
1417b8c74d
15e66e8e7
hex9cc35a1

164378017 has 2 divisors, whose sum is σ = 164378018. Its totient is φ = 164378016.

The previous prime is 164377999. The next prime is 164378021. The reversal of 164378017 is 710873461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96216481 + 68161536 = 9809^2 + 8256^2 .

It is an emirp because it is prime and its reverse (710873461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164378017 - 215 = 164345249 is a prime.

It is not a weakly prime, because it can be changed into another prime (164378047) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82189008 + 82189009.

It is an arithmetic number, because the mean of its divisors is an integer number (82189009).

Almost surely, 2164378017 is an apocalyptic number.

It is an amenable number.

164378017 is a deficient number, since it is larger than the sum of its proper divisors (1).

164378017 is an equidigital number, since it uses as much as digits as its factorization.

164378017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 164378017 is about 12820.9990640355. Note that the first 3 decimals coincide. The cubic root of 164378017 is about 547.7906043270.

The spelling of 164378017 in words is "one hundred sixty-four million, three hundred seventy-eight thousand, seventeen".