82735815221930 has 128 divisors (see below), whose sum is σ = 166222981189440. Its totient is φ = 29453555957760.

The previous prime is 82735815221909. The next prime is 82735815221947. The reversal of 82735815221930 is 3912251853728.

It is a Cunningham number, because it is equal to 9095923²+1.

It can be written as a sum of positive squares in 32 ways, for example, as 71369227776961 + 11366587444969 = 8448031^2 + 3371437^2 .

It is a super-3 number, since 3×82735815221930³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 947273222 + ... + 947360558.

Almost surely, 2^{82735815221930} is an apocalyptic number.

82735815221930 is an abundant number, since it is smaller than the sum of its proper divisors (83487165967510).

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

82735815221930 is a wasteful number, since it uses less digits than its factorization.

82735815221930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89484.

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 82735815221930 in words is "eighty-two trillion, seven hundred thirty-five billion, eight hundred fifteen million, two hundred twenty-one thousand, nine hundred thirty".