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

bin | 111011011011010… |

… | …000111011110111 |

3 | 2120111001000000000 |

4 | 323123100323313 |

5 | 4020213043444 |

6 | 242533122343 |

7 | 33464246166 |

oct | 7333207367 |

9 | 2514030000 |

10 | 997002999 |

11 | 471867123 |

12 | 239a893b3 |

13 | 12b72b005 |

14 | 965ab3dd |

15 | 5c7dd469 |

hex | 3b6d0ef7 |

997002999 has 40 divisors (see below), whose sum is σ = 1537019440. Its totient is φ = 646704648.

The previous prime is 997002943. The next prime is 997003043. The reversal of 997002999 is 999200799.

It can be divided in two parts, 997002 and 999, that added together give a square (998001 = 999^{2}).

The cubic root of 997002999 is 999.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 997002999 - 2^{7} = 997002871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997000999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26946009 + ... + 26946045.

It is an arithmetic number, because the mean of its divisors is an integer number (38425486).

Almost surely, 2^{997002999} is an apocalyptic number.

997002999 is a deficient number, since it is larger than the sum of its proper divisors (540016441).

997002999 is an frugal number, since it uses more digits than its factorization.

997002999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The square root of 997002999 is about 31575.3542972997.

The spelling of 997002999 in words is "nine hundred ninety-seven million, two thousand, nine hundred ninety-nine".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1369 2187 2997 4107 6561 8991 12321 19683 26973 36963 50653 80919 110889 151959 242757 332667 455877 728271 998001 1367631 2994003 4102893 8982009 12308679 26946027 36926037 110778111 332334333 997002999

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