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164154209 is a prime number
BaseRepresentation
bin10011100100011…
…00101101100001
3102102212220020112
421302030231201
5314010413314
624142221105
74032200462
oct1162145541
9372786215
10164154209
118472a53a
1246b84795
132801658b
1417b30d69
15e62843e
hex9c8cb61

164154209 has 2 divisors, whose sum is σ = 164154210. Its totient is φ = 164154208.

The previous prime is 164154191. The next prime is 164154217. The reversal of 164154209 is 902451461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163123984 + 1030225 = 12772^2 + 1015^2 .

It is an emirp because it is prime and its reverse (902451461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164154209 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164154709) 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, 82077104 + 82077105.

It is an arithmetic number, because the mean of its divisors is an integer number (82077105).

Almost surely, 2164154209 is an apocalyptic number.

It is an amenable number.

164154209 is a deficient number, since it is larger than the sum of its proper divisors (1).

164154209 is an equidigital number, since it uses as much as digits as its factorization.

164154209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 164154209 is about 12812.2679100930. The cubic root of 164154209 is about 547.5418776305.

It can be divided in two parts, 164154 and 209, that multiplied together give a triangular number (34308186 = T8283).

The spelling of 164154209 in words is "one hundred sixty-four million, one hundred fifty-four thousand, two hundred nine".