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164192909 is a prime number
BaseRepresentation
bin10011100100101…
…10001010001101
3102102221212022212
421302112022031
5314013133114
624143120205
74032421346
oct1162261215
9372855285
10164192909
1184756621
1246ba3065
132802b08a
1417b410cd
15e634b3e
hex9c9628d

164192909 has 2 divisors, whose sum is σ = 164192910. Its totient is φ = 164192908.

The previous prime is 164192869. The next prime is 164192923. The reversal of 164192909 is 909291461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134490409 + 29702500 = 11597^2 + 5450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164192909 is a prime.

It is a super-2 number, since 2×1641929092 = 53918622731764562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164192969) 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, 82096454 + 82096455.

It is an arithmetic number, because the mean of its divisors is an integer number (82096455).

Almost surely, 2164192909 is an apocalyptic number.

It is an amenable number.

164192909 is a deficient number, since it is larger than the sum of its proper divisors (1).

164192909 is an equidigital number, since it uses as much as digits as its factorization.

164192909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 164192909 is about 12813.7780923504. The cubic root of 164192909 is about 547.5849026328.

The spelling of 164192909 in words is "one hundred sixty-four million, one hundred ninety-two thousand, nine hundred nine".