82164221 has 8 divisors (see below), whose sum is σ = 85753080. Its totient is φ = 78625792.

The previous prime is 82164197. The next prime is 82164241. The reversal of 82164221 is 12246128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62500 + 82101721 = 250^2 + 9061^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82164221 - 2¹⁴ = 82147837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82164241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9260 + ... + 15813.

It is an arithmetic number, because the mean of its divisors is an integer number (10719135).

Almost surely, 2^82164221 is an apocalyptic number.

It is an amenable number.

82164221 is a deficient number, since it is larger than the sum of its proper divisors (3588859).

82164221 is a wasteful number, since it uses less digits than its factorization.

82164221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25215.

The product of its digits is 1536, while the sum is 26.

The square root of 82164221 is about 9064.4481905960. The cubic root of 82164221 is about 434.7379775791.

The spelling of 82164221 in words is "eighty-two million, one hundred sixty-four thousand, two hundred twenty-one".