221589 has 16 divisors (see below), whose sum is σ = 340800. Its totient is φ = 142128.

The previous prime is 221587. The next prime is 221603. The reversal of 221589 is 985122.

221589 = 31² + 32² + ... + 88².

221589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221589 - 2¹ = 221587 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (21300).

2²²¹⁵⁸⁹ is an apocalyptic number.

221589 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

221589 is a deficient number, since it is larger than the sum of its proper divisors (119211).

221589 is a wasteful number, since it uses less digits than its factorization.

221589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 221589 is about 470.7324080622. The cubic root of 221589 is about 60.5130996382.

It can be divided in two parts, 2215 and 89, that added together give a square (2304 = 48²).

The spelling of 221589 in words is "two hundred twenty-one thousand, five hundred eighty-nine".