35221 has 2 divisors, whose sum is σ = 35222. Its totient is φ = 35220.

The previous prime is 35201. The next prime is 35227. The reversal of 35221 is 12253.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 625 = 186^2 + 25^2 .

It is an emirp because it is prime and its reverse (12253) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-35221 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 5⁶ + 2¹⁰ + 2¹⁴ + 1 .

35221 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35227) 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 as a sum of consecutive naturals, namely, 17610 + 17611.

It is an arithmetic number, because the mean of its divisors is an integer number (17611).

2³⁵²²¹ is an apocalyptic number.

It is an amenable number.

35221 is a deficient number, since it is larger than the sum of its proper divisors (1).

35221 is an equidigital number, since it uses as much as digits as its factorization.

35221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60, while the sum is 13.

The square root of 35221 is about 187.6725872364. The cubic root of 35221 is about 32.7793668567.

Adding to 35221 its reverse (12253), we get a palindrome (47474).

It can be divided in two parts, 352 and 21, that added together give a palindrome (373).

The spelling of 35221 in words is "thirty-five thousand, two hundred twenty-one".