Sunday, July 24, 2022

Number of the day: 165801

Charles Émile Picard was born on this day 166 years ago.

Properties of the number 165801:

165801 is a cyclic number.
165801 = 3 × 17 × 3251 is a sphenic number and squarefree.
165801 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 104000 totatives.
165801 has a semiprime digit sum 21 in base 10.
165801 has a Fibonacci digit sum 21 in base 10.
165801 has a triangular digit sum 21 in base 10.
Reversing the decimal digits of 165801 results in a semiprime.
165801 = 829012 - 829002 = 276352 - 276322 = 48852 - 48682 = 16512 - 16002 is the difference of 2 nonnegative squares in 4 ways.
165801 is the difference of 2 positive pentagonal numbers in 2 ways.
165801 = 52 + 762 + 4002 is the sum of 3 positive squares.
1658012 = 780242 + 1462952 is the sum of 2 positive squares in 1 way.
1658012 is the sum of 3 positive squares.
165801 is a proper divisor of 123720 - 1.
165801 is palindromic in (at least) the following bases: 50, -64, and -90.
165801 in base 50 = 1GG1 and consists of only the digits '1' and 'G'.

The number 165801 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A005904: Centered dodecahedral numbers.

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