45221 has 4 divisors (see below), whose sum is σ = 49344. Its totient is φ = 41100.

The previous prime is 45197. The next prime is 45233. The reversal of 45221 is 12254.

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 45221 - 2¹⁴ = 28837 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 45196 and 45205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2045 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (12336).

2⁴⁵²²¹ is an apocalyptic number.

It is an amenable number.

45221 is a deficient number, since it is larger than the sum of its proper divisors (4123).

45221 is a wasteful number, since it uses less digits than its factorization.

45221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122.

The product of its digits is 80, while the sum is 14.

The square root of 45221 is about 212.6522983652. The cubic root of 45221 is about 35.6270656441.

Adding to 45221 its reverse (12254), we get a palindrome (57475).

It can be divided in two parts, 4 and 5221, that added together give a palindrome (5225).

The spelling of 45221 in words is "forty-five thousand, two hundred twenty-one".