82400705 has 8 divisors (see below), whose sum is σ = 99603432. Its totient is φ = 65438848.

The previous prime is 82400671. The next prime is 82400719. The reversal of 82400705 is 50700428.

It can be written as a sum of positive squares in 4 ways, for example, as 20322064 + 62078641 = 4508^2 + 7879^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82400705 - 2⁶ = 82400641 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59462 + ... + 60831.

It is an arithmetic number, because the mean of its divisors is an integer number (12450429).

Almost surely, 2^82400705 is an apocalyptic number.

It is an amenable number.

82400705 is a deficient number, since it is larger than the sum of its proper divisors (17202727).

82400705 is a wasteful number, since it uses less digits than its factorization.

82400705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120435.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 82400705 is about 9077.4834067598. The cubic root of 82400705 is about 435.1546638121.

The spelling of 82400705 in words is "eighty-two million, four hundred thousand, seven hundred five".