82120563 has 24 divisors (see below), whose sum is σ = 135868928. Its totient is φ = 46820592.

The previous prime is 82120553. The next prime is 82120601. The reversal of 82120563 is 36502128.

82120563 is a `hidden beast` number, since 82 + 1 + 20 + 563 = 666.

It is not a de Polignac number, because 82120563 - 2⁵ = 82120531 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82120543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33270 + ... + 35652.

Almost surely, 2^82120563 is an apocalyptic number.

82120563 is a deficient number, since it is larger than the sum of its proper divisors (53748365).

82120563 is a wasteful number, since it uses less digits than its factorization.

82120563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82120563 is about 9062.0396710674. The cubic root of 82120563 is about 434.6609645231.

The spelling of 82120563 in words is "eighty-two million, one hundred twenty thousand, five hundred sixty-three".