83905616 has 20 divisors (see below), whose sum is σ = 164796372. Its totient is φ = 41377536.

The previous prime is 83905607. The next prime is 83905651. The reversal of 83905616 is 61650938.

It can be written as a sum of positive squares in 2 ways, for example, as 47665216 + 36240400 = 6904^2 + 6020^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83905616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34751 + ... + 37086.

Almost surely, 2^83905616 is an apocalyptic number.

It is an amenable number.

83905616 is a deficient number, since it is larger than the sum of its proper divisors (80890756).

83905616 is a wasteful number, since it uses less digits than its factorization.

83905616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71918 (or 71912 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 83905616 is about 9160.0008733624. Note that the first 3 decimals coincide. The cubic root of 83905616 is about 437.7878221437.

It can be divided in two parts, 839056 and 16, that multiplied together give a square (13424896 = 3664²).

The spelling of 83905616 in words is "eighty-three million, nine hundred five thousand, six hundred sixteen".