85221 has 12 divisors (see below), whose sum is σ = 130572. Its totient is φ = 53376.

The previous prime is 85213. The next prime is 85223. The reversal of 85221 is 12258.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 50625 = 186^2 + 225^2 .

It is not a de Polignac number, because 85221 - 2³ = 85213 is a prime.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 85194 and 85203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85223) 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, 126 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (10881).

2⁸⁵²²¹ is an apocalyptic number.

It is an amenable number.

85221 is a deficient number, since it is larger than the sum of its proper divisors (45351).

85221 is a wasteful number, since it uses less digits than its factorization.

85221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 577 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 85221 is about 291.9263605775. The cubic root of 85221 is about 44.0063696013.

Adding to 85221 its reverse (12258), we get a palindrome (97479).

The spelling of 85221 in words is "eighty-five thousand, two hundred twenty-one".