82717211236 has 81 divisors (see below), whose sum is σ = 169241106027. Its totient is φ = 35341025280.

The previous prime is 82717211233. The next prime is 82717211267. The reversal of 82717211236 is 63211271728.

The square root of 82717211236 is 287606.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2822796900 + 79894414336 = 53130^2 + 282656^2 .

It is a super-2 number, since 2×82717211236² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82717211233) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107564260 + ... + 107565028.

Almost surely, 2^82717211236 is an apocalyptic number.

82717211236 is the 287606-th square number.

It is an amenable number.

82717211236 is an abundant number, since it is smaller than the sum of its proper divisors (86523894791).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82717211236 is a wasteful number, since it uses less digits than its factorization.

82717211236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The spelling of 82717211236 in words is "eighty-two billion, seven hundred seventeen million, two hundred eleven thousand, two hundred thirty-six".