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217065983 is a prime number
BaseRepresentation
bin11001111000000…
…10100111111111
3120010110002112212
430330002213333
5421032102413
633312251035
75244013301
oct1474024777
9503402485
10217065983
11101589982
1260840a7b
1335c81114
1420b85971
15140caca8
hexcf029ff

217065983 has 2 divisors, whose sum is σ = 217065984. Its totient is φ = 217065982.

The previous prime is 217065949. The next prime is 217065991. The reversal of 217065983 is 389560712.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 217065983 - 220 = 216017407 is a prime.

It is a Chen prime.

It is equal to p11969834 and since 217065983 and 11969834 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 217065983.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217065943) 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, 108532991 + 108532992.

It is an arithmetic number, because the mean of its divisors is an integer number (108532992).

Almost surely, 2217065983 is an apocalyptic number.

217065983 is a deficient number, since it is larger than the sum of its proper divisors (1).

217065983 is an equidigital number, since it uses as much as digits as its factorization.

217065983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 217065983 is about 14733.1593013854. The cubic root of 217065983 is about 600.9854020483.

The spelling of 217065983 in words is "two hundred seventeen million, sixty-five thousand, nine hundred eighty-three".