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65353993 is a prime number
BaseRepresentation
bin1111100101001…
…1100100001001
311112222022211021
43321103210021
5113212311433
610252432441
71422333265
oct371234411
9145868737
1065353993
1133988471
1219a78721
1310702c03
1489730a5
155b0e22d
hex3e53909

65353993 has 2 divisors, whose sum is σ = 65353994. Its totient is φ = 65353992.

The previous prime is 65353991. The next prime is 65354027. The reversal of 65353993 is 39935356.

65353993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53187849 + 12166144 = 7293^2 + 3488^2 .

It is a cyclic number.

It is not a de Polignac number, because 65353993 - 21 = 65353991 is a prime.

It is a super-2 number, since 2×653539932 = 8542288802088098, which contains 22 as substring.

Together with 65353991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (65353991) 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, 32676996 + 32676997.

It is an arithmetic number, because the mean of its divisors is an integer number (32676997).

Almost surely, 265353993 is an apocalyptic number.

It is an amenable number.

65353993 is a deficient number, since it is larger than the sum of its proper divisors (1).

65353993 is an equidigital number, since it uses as much as digits as its factorization.

65353993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 328050, while the sum is 43.

The square root of 65353993 is about 8084.1816530803. The cubic root of 65353993 is about 402.8011567619.

The spelling of 65353993 in words is "sixty-five million, three hundred fifty-three thousand, nine hundred ninety-three".