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164727593 is a prime number
BaseRepresentation
bin10011101000110…
…00101100101001
3102110222000202222
421310120230221
5314132240333
624202403425
74040106242
oct1164305451
9373860688
10164727593
1184a91308
1247200575
1328187564
1417c3dcc9
15e6dd298
hex9d18b29

164727593 has 2 divisors, whose sum is σ = 164727594. Its totient is φ = 164727592.

The previous prime is 164727581. The next prime is 164727713. The reversal of 164727593 is 395727461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163532944 + 1194649 = 12788^2 + 1093^2 .

It is a cyclic number.

It is not a de Polignac number, because 164727593 - 218 = 164465449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164727523) 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, 82363796 + 82363797.

It is an arithmetic number, because the mean of its divisors is an integer number (82363797).

Almost surely, 2164727593 is an apocalyptic number.

It is an amenable number.

164727593 is a deficient number, since it is larger than the sum of its proper divisors (1).

164727593 is an equidigital number, since it uses as much as digits as its factorization.

164727593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 44.

The square root of 164727593 is about 12834.6247705182. The cubic root of 164727593 is about 548.1786506610.

The spelling of 164727593 in words is "one hundred sixty-four million, seven hundred twenty-seven thousand, five hundred ninety-three".