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165932213 is a prime number
BaseRepresentation
bin10011110001111…
…10110010110101
3102120020020012112
421320332302311
5314434312323
624244300405
74053254246
oct1170766265
9376206175
10165932213
1185734367
12476a1705
13284b9955
1418074ccd
15e87a178
hex9e3ecb5

165932213 has 2 divisors, whose sum is σ = 165932214. Its totient is φ = 165932212.

The previous prime is 165932209. The next prime is 165932237. The reversal of 165932213 is 312239561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109035364 + 56896849 = 10442^2 + 7543^2 .

It is a cyclic number.

It is not a de Polignac number, because 165932213 - 22 = 165932209 is a prime.

It is a super-2 number, since 2×1659322132 = 55066998622154738, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165932213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165935213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82966106 + 82966107.

It is an arithmetic number, because the mean of its divisors is an integer number (82966107).

Almost surely, 2165932213 is an apocalyptic number.

It is an amenable number.

165932213 is a deficient number, since it is larger than the sum of its proper divisors (1).

165932213 is an equidigital number, since it uses as much as digits as its factorization.

165932213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 32.

The square root of 165932213 is about 12881.4678123264. The cubic root of 165932213 is about 549.5116469533.

The spelling of 165932213 in words is "one hundred sixty-five million, nine hundred thirty-two thousand, two hundred thirteen".