80983305 has 24 divisors (see below), whose sum is σ = 151169928. Its totient is φ = 39868416.

The previous prime is 80983297. The next prime is 80983307. The reversal of 80983305 is 50338908.

It can be written as a sum of positive squares in 4 ways, for example, as 18636489 + 62346816 = 4317^2 + 7896^2 .

It is not a de Polignac number, because 80983305 - 2³ = 80983297 is a prime.

It is a super-3 number, since 3×80983305³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80983305.

It is not an unprimeable number, because it can be changed into a prime (80983307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68632 + ... + 69801.

It is an arithmetic number, because the mean of its divisors is an integer number (6298747).

Almost surely, 2^80983305 is an apocalyptic number.

It is an amenable number.

80983305 is a deficient number, since it is larger than the sum of its proper divisors (70186623).

80983305 is a wasteful number, since it uses less digits than its factorization.

80983305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138457 (or 138454 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 80983305 is about 8999.0724522031. The cubic root of 80983305 is about 432.6451426835.

The spelling of 80983305 in words is "eighty million, nine hundred eighty-three thousand, three hundred five".