82080945 has 40 divisors (see below), whose sum is σ = 147799080. Its totient is φ = 43580160.

The previous prime is 82080923. The next prime is 82080949. The reversal of 82080945 is 54908028.

It can be written as a sum of positive squares in 4 ways, for example, as 431649 + 81649296 = 657^2 + 9036^2 .

It is not a de Polignac number, because 82080945 - 2⁶ = 82080881 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82080949) 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 39 ways as a sum of consecutive naturals, for example, 157285 + ... + 157805.

It is an arithmetic number, because the mean of its divisors is an integer number (3694977).

Almost surely, 2^82080945 is an apocalyptic number.

It is an amenable number.

82080945 is a deficient number, since it is larger than the sum of its proper divisors (65718135).

82080945 is a wasteful number, since it uses less digits than its factorization.

82080945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82080945 is about 9059.8534756363. The cubic root of 82080945 is about 434.5910544322.

The spelling of 82080945 in words is "eighty-two million, eighty thousand, nine hundred forty-five".