Base | Representation |
---|---|

bin | 100110000111… |

… | …110001111001 |

3 | 200210201021121 |

4 | 212013301321 |

5 | 10024241322 |

6 | 554105241 |

7 | 150641044 |

oct | 46076171 |

9 | 20721247 |

10 | 9993337 |

11 | 5706162 |

12 | 341b221 |

13 | 20bb823 |

14 | 1481c5b |

15 | d25ec7 |

hex | 987c79 |

9993337 has 2 divisors, whose sum is σ = 9993338. Its totient is φ = 9993336.

The previous prime is 9993317. The next prime is 9993341. The reversal of 9993337 is 7333999.

It is a happy number.

9993337 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8415801 + 1577536 = 2901^2 + 1256^2 .

It is an emirp because it is prime and its reverse (7333999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9993337 - 2^{7} = 9993209 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 9993293 and 9993302.

It is not a weakly prime, because it can be changed into another prime (9993317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996668 + 4996669.

It is an arithmetic number, because the mean of its divisors is an integer number (4996669).

Almost surely, 2^{9993337} is an apocalyptic number.

It is an amenable number.

9993337 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993337 is an equidigital number, since it uses as much as digits as its factorization.

9993337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 137781, while the sum is 43.

The square root of 9993337 is about 3161.2239718185. The cubic root of 9993337 is about 215.3956083773.

The spelling of 9993337 in words is "nine million, nine hundred ninety-three thousand, three hundred thirty-seven".

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