Number of the day: 61629

Properties of the number 61629:

61629 = 3 × 20543 is semiprime and squarefree.
61629 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 41084 totatives.
61629 = 30815² - 30814² = 10273² - 10270² is the difference of 2 nonnegative squares in 2 ways.
61629 is the sum of 2 positive triangular numbers.
61629 is the difference of 2 positive pentagonal numbers in 1 way.
61629 = 2² + 115² + 220² is the sum of 3 positive squares.
61629² is the sum of 3 positive squares.
61629 is a divisor of 7¹⁰²⁷¹ - 1.
61629 is an emirpimes in (at least) the following bases: 6, 9, 12, 17, 20, 25, 30, 36, 37, 39, 51, 54, 59, 60, 67, 71, 72, 78, 82, 90, and 99.
61629 is palindromic in (at least) the following bases: 63, 69, and 79.
61629 in base 55 = KKT and consists of only the digits 'K' and 'T'.
61629 in base 58 = IIX and consists of only the digits 'I' and 'X'.

The number 61629 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A001982: Number of partitions of 4n-1 into n nonnegative integers each no greater than 8.
A173084: Semiprimes q such that q^2-4 and q^2+4 are also semiprimes.