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164213729 is a prime number
BaseRepresentation
bin10011100100110…
…11001111100001
3102102222220212222
421302123033201
5314014314404
624143400425
74032536141
oct1162331741
9372886788
10164213729
1184770229
1246bb3115
13280376b4
1417b48921
15e63adbe
hex9c9b3e1

164213729 has 2 divisors, whose sum is σ = 164213730. Its totient is φ = 164213728.

The previous prime is 164213683. The next prime is 164213737. The reversal of 164213729 is 927312461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162613504 + 1600225 = 12752^2 + 1265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164213729 is a prime.

It is a super-2 number, since 2×1642137292 = 53932297584170882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164215729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82106864 + 82106865.

It is an arithmetic number, because the mean of its divisors is an integer number (82106865).

Almost surely, 2164213729 is an apocalyptic number.

It is an amenable number.

164213729 is a deficient number, since it is larger than the sum of its proper divisors (1).

164213729 is an equidigital number, since it uses as much as digits as its factorization.

164213729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 164213729 is about 12814.5904733628. The cubic root of 164213729 is about 547.6080466202.

The spelling of 164213729 in words is "one hundred sixty-four million, two hundred thirteen thousand, seven hundred twenty-nine".