221562 has 32 divisors (see below), whose sum is σ = 538560. Its totient is φ = 66960.

The previous prime is 221549. The next prime is 221567. The reversal of 221562 is 265122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (221567) by changing a digit.

221562 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 15 ways as a sum of consecutive naturals, for example, 408 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2²²¹⁵⁶² is an apocalyptic number.

221562 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280).

221562 is an abundant number, since it is smaller than the sum of its proper divisors (316998).

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

221562 is a wasteful number, since it uses less digits than its factorization.

221562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 221562 is about 470.7037284747. The cubic root of 221562 is about 60.5106417544.

Adding to 221562 its reverse (265122), we get a palindrome (486684).

The spelling of 221562 in words is "two hundred twenty-one thousand, five hundred sixty-two".