Number of the day: 45167

Properties of the number 45167:

45167 = 31² × 47 is the 40478^th composite number and is not squarefree.
45167 has 2 distinct prime factors, 6 divisors, 23 antidivisors and 42780 totatives.
45167 has a prime digit sum 23 in base 10.
45167 = 22584² - 22583² = 744² - 713² = 504² - 457² is the difference of 2 nonnegative squares in 3 ways.
45167 is the difference of 2 positive pentagonal numbers in 3 ways.
45167 is not the sum of 3 positive squares.
45167² is the sum of 3 positive squares.
45167 is a divisor of 1693¹⁵ - 1.
45167 is palindromic in (at least) the following bases: 41, and 44.
45167 in base 41 = QZQ and consists of only the digits 'Q' and 'Z'.
45167 in base 42 = PPH and consists of only the digits 'H' and 'P'.
45167 in base 44 = NEN and consists of only the digits 'E' and 'N'.

The number 45167 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A015247: (2n-15)n^2.
A036659: Product of n with sum of next n consecutive integers.
A064977: n*10^3-1, n*10^3-3, n*10^3-7 and n*10^3-9 are all prime.
A266771: Molien series for invariants of finite Coxeter group D_8 (bisected).