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165368029 is a prime number
BaseRepresentation
bin10011101101101…
…01000011011101
3102112011120021211
421312311003131
5314313234104
624224224421
74045414351
oct1166650335
9375146254
10165368029
11853894a2
124746b111
132834cc08
1417d69461
15e7b7e04
hex9db50dd

165368029 has 2 divisors, whose sum is σ = 165368030. Its totient is φ = 165368028.

The previous prime is 165368023. The next prime is 165368041. The reversal of 165368029 is 920863561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141063129 + 24304900 = 11877^2 + 4930^2 .

It is a cyclic number.

It is not a de Polignac number, because 165368029 - 219 = 164843741 is a prime.

It is a super-3 number, since 3×1653680293 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 165367982 and 165368000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165368023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82684014 + 82684015.

It is an arithmetic number, because the mean of its divisors is an integer number (82684015).

Almost surely, 2165368029 is an apocalyptic number.

It is an amenable number.

165368029 is a deficient number, since it is larger than the sum of its proper divisors (1).

165368029 is an equidigital number, since it uses as much as digits as its factorization.

165368029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 165368029 is about 12859.5501087713. The cubic root of 165368029 is about 548.8881439173. Note that the first 3 decimals are identical.

The spelling of 165368029 in words is "one hundred sixty-five million, three hundred sixty-eight thousand, twenty-nine".