Number of the day: 90297

Pierre de Fermat was born on this day 417 years ago.

Properties of the number 90297:

90297 = 3² × 79 × 127 is the 81551^th composite number and is not squarefree.
90297 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 58968 totatives.
90297 = 45149² - 45148² = 15051² - 15048² = 5021² - 5012² = 611² - 532² = 419² - 292² = 309² - 72² is the difference of 2 nonnegative squares in 6 ways.
90297 is the difference of 2 positive pentagonal numbers in 1 way.
90297 = 7² + 38² + 298² is the sum of 3 positive squares.
90297² is the sum of 3 positive squares.
90297 is a proper divisor of 631¹⁴ - 1.
90297 = '9029' + '7' is the concatenation of 2 prime numbers.
90297 is palindromic in (at least) the following bases: 99, and -74.
90297 in base 48 = d99 and consists of only the digits '9' and 'd'.

The number 90297 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A115939: Numbers n such that the n-th triangular number contains each of the 10 decimal digits exactly once.