221553 has 12 divisors (see below), whose sum is σ = 324480. Its totient is φ = 145656.

The previous prime is 221549. The next prime is 221567. The reversal of 221553 is 355122.

It is a happy number.

221553 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 221553 - 2² = 221549 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221553.

It is not an unprimeable number, because it can be changed into a prime (221453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (27040).

2²²¹⁵⁵³ is an apocalyptic number.

It is an amenable number.

221553 is a deficient number, since it is larger than the sum of its proper divisors (102927).

221553 is a wasteful number, since it uses less digits than its factorization.

221553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 221553 is about 470.6941682239. The cubic root of 221553 is about 60.5098224154.

Adding to 221553 its reverse (355122), we get a palindrome (576675).

The spelling of 221553 in words is "two hundred twenty-one thousand, five hundred fifty-three".