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164127629 is a prime number
BaseRepresentation
bin10011100100001…
…10001110001101
3102102211112210002
421302012032031
5314004041004
624141454045
74032030131
oct1162061615
9372745702
10164127629
1184711576
1246b71325
1328007453
1417b253c1
15e62061e
hex9c8638d

164127629 has 2 divisors, whose sum is σ = 164127630. Its totient is φ = 164127628.

The previous prime is 164127599. The next prime is 164127661. The reversal of 164127629 is 926721461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163072900 + 1054729 = 12770^2 + 1027^2 .

It is an emirp because it is prime and its reverse (926721461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164127629 - 220 = 163079053 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 164127592 and 164127601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164120629) 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, 82063814 + 82063815.

It is an arithmetic number, because the mean of its divisors is an integer number (82063815).

Almost surely, 2164127629 is an apocalyptic number.

It is an amenable number.

164127629 is a deficient number, since it is larger than the sum of its proper divisors (1).

164127629 is an equidigital number, since it uses as much as digits as its factorization.

164127629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 38.

The square root of 164127629 is about 12811.2305810176. The cubic root of 164127629 is about 547.5123232077.

The spelling of 164127629 in words is "one hundred sixty-four million, one hundred twenty-seven thousand, six hundred twenty-nine".