82221609717 has 72 divisors (see below), whose sum is σ = 136068747360. Its totient is φ = 47428623360.

The previous prime is 82221609667. The next prime is 82221609727. The reversal of 82221609717 is 71790612228.

It is a happy number.

82221609717 is a `hidden beast` number, since 8 + 2 + 2 + 21 + 609 + 7 + 17 = 666.

It is not a de Polignac number, because 82221609717 - 2¹² = 82221605621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82221609727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20914242 + ... + 20918172.

Almost surely, 2^82221609717 is an apocalyptic number.

It is an amenable number.

82221609717 is a deficient number, since it is larger than the sum of its proper divisors (53847137643).

82221609717 is a wasteful number, since it uses less digits than its factorization.

82221609717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 82221609717 in words is "eighty-two billion, two hundred twenty-one million, six hundred nine thousand, seven hundred seventeen".