82724113924 has 27 divisors (see below), whose sum is σ = 149620003911. Its totient is φ = 40019168520.

The previous prime is 82724113921. The next prime is 82724113987. The reversal of 82724113924 is 42931142728.

The square root of 82724113924 is 287618.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82724113921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17829997 + ... + 17834635.

Almost surely, 2^82724113924 is an apocalyptic number.

82724113924 is the 287618-th square number.

It is an amenable number.

82724113924 is a deficient number, since it is larger than the sum of its proper divisors (66895889987).

82724113924 is an frugal number, since it uses more digits than its factorization.

82724113924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 4672 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The spelling of 82724113924 in words is "eighty-two billion, seven hundred twenty-four million, one hundred thirteen thousand, nine hundred twenty-four".