221559 has 24 divisors (see below), whose sum is σ = 351360. Its totient is φ = 123552.

The previous prime is 221549. The next prime is 221567. The reversal of 221559 is 955122.

It is not a de Polignac number, because 221559 - 2⁸ = 221303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9622 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (14640).

2²²¹⁵⁵⁹ is an apocalyptic number.

221559 is a deficient number, since it is larger than the sum of its proper divisors (129801).

221559 is a wasteful number, since it uses less digits than its factorization.

221559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 221559 is about 470.7005417460. The cubic root of 221559 is about 60.5103686439.

It can be divided in two parts, 221 and 559, that added together give a triangular number (780 = T₃₉).

The spelling of 221559 in words is "two hundred twenty-one thousand, five hundred fifty-nine".