221353 has 4 divisors (see below), whose sum is σ = 241488. Its totient is φ = 201220.

The previous prime is 221327. The next prime is 221393. The reversal of 221353 is 353122.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 221353 - 2⁹ = 220841 is a prime.

It is a Duffinian number.

221353 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (221303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10051 + ... + 10072.

It is an arithmetic number, because the mean of its divisors is an integer number (60372).

2²²¹³⁵³ is an apocalyptic number.

It is an amenable number.

221353 is a deficient number, since it is larger than the sum of its proper divisors (20135).

221353 is a wasteful number, since it uses less digits than its factorization.

221353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20134.

The product of its digits is 180, while the sum is 16.

The square root of 221353 is about 470.4816680807. The cubic root of 221353 is about 60.4916091544.

Adding to 221353 its reverse (353122), we get a palindrome (574475).

Subtracting 221353 from its reverse (353122), we obtain a square (131769 = 363²).

The spelling of 221353 in words is "two hundred twenty-one thousand, three hundred fifty-three".