221064 has 32 divisors (see below), whose sum is σ = 565440. Its totient is φ = 72000.

The previous prime is 221059. The next prime is 221069. The reversal of 221064 is 460122.

It is an interprime number because it is at equal distance from previous prime (221059) and next prime (221069).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (221069) by changing a digit.

221064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (17670).

2²²¹⁰⁶⁴ is an apocalyptic number.

221064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720).

221064 is an abundant number, since it is smaller than the sum of its proper divisors (344376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221064 is a wasteful number, since it uses less digits than its factorization.

221064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221064 is about 470.1744357151. The cubic root of 221064 is about 60.4652716018.

Adding to 221064 its reverse (460122), we get a palindrome (681186).

The spelling of 221064 in words is "two hundred twenty-one thousand, sixty-four".