82609106724 has 27 divisors (see below), whose sum is σ = 208821823483. Its totient is φ = 27535794072.

The previous prime is 82609106677. The next prime is 82609106729. The reversal of 82609106724 is 42760190628.

It is a happy number.

The square root of 82609106724 is 287418.

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

82609106724 is a `hidden beast` number, since 8 + 2 + 609 + 10 + 6 + 7 + 24 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82609106724.

It is not an unprimeable number, because it can be changed into a prime (82609106729) 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, 1700557 + ... + 1748459.

Almost surely, 2^82609106724 is an apocalyptic number.

82609106724 is the 287418-th square number.

It is an amenable number.

82609106724 is an abundant number, since it is smaller than the sum of its proper divisors (126212716759).

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

82609106724 is an frugal number, since it uses more digits than its factorization.

82609106724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95816 (or 47908 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82609106724 in words is "eighty-two billion, six hundred nine million, one hundred six thousand, seven hundred twenty-four".