82171662336 has 117 divisors (see below), whose sum is σ = 237514910269. Its totient is φ = 27372208128.

The previous prime is 82171662329. The next prime is 82171662337. The reversal of 82171662336 is 63326617128.

The square root of 82171662336 is 286656.

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

82171662336 is a `hidden beast` number, since 8 + 2 + 1 + 7 + 16 + 623 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71738265600 + 10433396736 = 267840^2 + 102144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82171662291 and 82171662300.

It is not an unprimeable number, because it can be changed into a prime (82171662337) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55037206 + ... + 55038698.

Almost surely, 2^82171662336 is an apocalyptic number.

82171662336 is the 286656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82171662336

82171662336 is an abundant number, since it is smaller than the sum of its proper divisors (155343247933).

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

82171662336 is an frugal number, since it uses more digits than its factorization.

82171662336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 1498 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 82171662336 in words is "eighty-two billion, one hundred seventy-one million, six hundred sixty-two thousand, three hundred thirty-six".