82127305 has 16 divisors (see below), whose sum is σ = 108725904. Its totient is φ = 59166720.

The previous prime is 82127293. The next prime is 82127341. The reversal of 82127305 is 50372128.

It can be written as a sum of positive squares in 8 ways, for example, as 45549001 + 36578304 = 6749^2 + 6048^2 .

It is not a de Polignac number, because 82127305 - 2¹⁹ = 81603017 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 15 ways as a sum of consecutive naturals, for example, 12744 + ... + 18073.

It is an arithmetic number, because the mean of its divisors is an integer number (6795369).

Almost surely, 2^82127305 is an apocalyptic number.

It is an amenable number.

82127305 is a deficient number, since it is larger than the sum of its proper divisors (26598599).

82127305 is a wasteful number, since it uses less digits than its factorization.

82127305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30876.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 82127305 is about 9062.4116547418. The cubic root of 82127305 is about 434.6728592461.

The spelling of 82127305 in words is "eighty-two million, one hundred twenty-seven thousand, three hundred five".