82081865 has 16 divisors (see below), whose sum is σ = 105008400. Its totient is φ = 61378560.

The previous prime is 82081859. The next prime is 82081891. The reversal of 82081865 is 56818028.

It can be written as a sum of positive squares in 8 ways, for example, as 1585081 + 80496784 = 1259^2 + 8972^2 .

It is not a de Polignac number, because 82081865 - 2¹⁰ = 82080841 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9425 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (6563025).

Almost surely, 2^82081865 is an apocalyptic number.

82081865 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82081865 is a deficient number, since it is larger than the sum of its proper divisors (22926535).

82081865 is a wasteful number, since it uses less digits than its factorization.

82081865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652.

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 82081865 is about 9059.9042489421. The cubic root of 82081865 is about 434.5926781232.

The spelling of 82081865 in words is "eighty-two million, eighty-one thousand, eight hundred sixty-five".