82100083 has 16 divisors (see below), whose sum is σ = 94612000. Its totient is φ = 70606080.

The previous prime is 82100063. The next prime is 82100149. The reversal of 82100083 is 38000128.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82100083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82100063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12343 + ... + 17791.

It is an arithmetic number, because the mean of its divisors is an integer number (5913250).

Almost surely, 2^82100083 is an apocalyptic number.

82100083 is a deficient number, since it is larger than the sum of its proper divisors (12511917).

82100083 is a wasteful number, since it uses less digits than its factorization.

82100083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 82100083 is about 9060.9096121747. The cubic root of 82100083 is about 434.6248282363.

The spelling of 82100083 in words is "eighty-two million, one hundred thousand, eighty-three".