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

bin | 10000001101111110001 |

3 | 1000000000000 |

4 | 2001233301 |

5 | 114001231 |

6 | 15220213 |

7 | 4342251 |

oct | 2015761 |

9 | 1000000 |

10 | 531441 |

11 | 333309 |

12 | 217669 |

13 | 157b81 |

14 | db961 |

15 | a76e6 |

hex | 81bf1 |

531441 has 13 divisors (see below), whose sum is σ = 797161. Its totient is φ = 354294.

The previous prime is 531383. The next prime is 531457. The reversal of 531441 is 144135.

Adding to 531441 its reverse (144135), we get a palindrome (675576).

It is a happy number.

The square root of 531441 is 729.

The cubic root of 531441 is 81.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 12-th power), and thus also a powerful number.

531441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 531441 - 2^{11} = 529393 is a prime.

It is a Duffinian number.

Its product of digits (240) is a multiple of the sum of its prime divisors (3).

It is a nialpdrome in base 3, base 9 and base 14.

It is not an unprimeable number, because it can be changed into a prime (531481) by changing a digit.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 177146 + 177147 + 177148.

531441 is a Friedman number, since it can be written as (5+4)^((4*3)/(1+1)), using all its digits and the basic arithmetic operations.

2^{531441} is an apocalyptic number.

531441 is the 729-th square number.

531441 is the 365-th centered octagonal number.

It is an amenable number.

531441 is a deficient number, since it is larger than the sum of its proper divisors (265720).

531441 is an frugal number, since it uses more digits than its factorization.

531441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 3 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The spelling of 531441 in words is "five hundred thirty-one thousand, four hundred forty-one".

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