83688705 has 24 divisors (see below), whose sum is σ = 153594792. Its totient is φ = 42008064.

The previous prime is 83688677. The next prime is 83688713. The reversal of 83688705 is 50788638.

It can be written as a sum of positive squares in 4 ways, for example, as 39652209 + 44036496 = 6297^2 + 6636^2 .

It is not a de Polignac number, because 83688705 - 2⁶ = 83688641 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53934 + ... + 55463.

It is an arithmetic number, because the mean of its divisors is an integer number (6399783).

Almost surely, 2^83688705 is an apocalyptic number.

83688705 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83688705 is a deficient number, since it is larger than the sum of its proper divisors (69906087).

83688705 is a wasteful number, since it uses less digits than its factorization.

83688705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109425 (or 109422 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 83688705 is about 9148.1530922914. The cubic root of 83688705 is about 437.4102433557.

The spelling of 83688705 in words is "eighty-three million, six hundred eighty-eight thousand, seven hundred five".