82735815221929 has 3 divisors (see below), whose sum is σ = 82735824317853. Its totient is φ = 82735806126006.

The previous prime is 82735815221909. The next prime is 82735815221947. The reversal of 82735815221929 is 92912251853728.

The square root of 82735815221929 is 9095923.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 82735815221929 - 2¹⁷ = 82735815090857 is a prime.

It is a super-3 number, since 3×82735815221929³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82735815221909) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4547962 + ... + 13643884.

It is an arithmetic number, because the mean of its divisors is an integer number (27578608105951).

Almost surely, 2^{82735815221929} is an apocalyptic number.

82735815221929 is the 9095923-rd square number.

82735815221929 is the 4547962-nd centered octagonal number.

It is an amenable number.

82735815221929 is a deficient number, since it is larger than the sum of its proper divisors (9095924).

82735815221929 is an frugal number, since it uses more digits than its factorization.

82735815221929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191846 (or 9095923 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 64.

The spelling of 82735815221929 in words is "eighty-two trillion, seven hundred thirty-five billion, eight hundred fifteen million, two hundred twenty-one thousand, nine hundred twenty-nine".