Tuesday, October 3, 2017

Number of the day: 83409

Properties of the number 83409:

83409 is a cyclic number.
83409 = 3 × 27803 is semiprime and squarefree.
83409 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 55604 totatives.
Reversing the decimal digits of 83409 results in a sphenic number.
83409 = 417052 - 417042 = 139032 - 139002 is the difference of 2 nonnegative squares in 2 ways.
83409 is the difference of 2 positive pentagonal numbers in 1 way.
83409 = 132 + 382 + 2862 is the sum of 3 positive squares.
834092 is the sum of 3 positive squares.
83409 is a proper divisor of 713901 - 1.
83409 = '83' + '409' is the concatenation of 2 prime numbers.
83409 is an emirpimes in (at least) the following bases: 2, 6, 11, 15, 19, 27, 28, 31, 33, 36, 39, 40, 41, 44, 45, 49, 51, 55, 59, 66, 69, 71, 75, 78, 81, 83, 85, 92, 94, 97, and 99.
83409 is palindromic in (at least) the following bases: 61, and -100.
83409 in base 22 = 7i77 and consists of only the digits '7' and 'i'.
83409 in base 61 = MPM and consists of only the digits 'M' and 'P'.

The number 83409 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A277217: Numbers n for which the sum of digits of sigma(n) = the product of digits of sigma(n).

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