83008705 has 32 divisors (see below), whose sum is σ = 116290944. Its totient is φ = 56318976.

The previous prime is 83008661. The next prime is 83008729. The reversal of 83008705 is 50780038.

It is a cyclic number.

It is not a de Polignac number, because 83008705 - 2⁷ = 83008577 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 31 ways as a sum of consecutive naturals, for example, 46642 + ... + 48388.

It is an arithmetic number, because the mean of its divisors is an integer number (3634092).

Almost surely, 2^83008705 is an apocalyptic number.

83008705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83008705 is a deficient number, since it is larger than the sum of its proper divisors (33282239).

83008705 is a wasteful number, since it uses less digits than its factorization.

83008705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 83008705 is about 9110.9113155600. The cubic root of 83008705 is about 436.2223163414. Note that the first 3 decimals are identical.

The spelling of 83008705 in words is "eighty-three million, eight thousand, seven hundred five".