82100127 has 16 divisors (see below), whose sum is σ = 112376160. Its totient is φ = 53294592.

The previous prime is 82100063. The next prime is 82100149. The reversal of 82100127 is 72100128.

It is not a de Polignac number, because 82100127 - 2⁶ = 82100063 is a prime.

It is a super-2 number, since 2×82100127² = 13480861706832258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82100177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19899 + ... + 23667.

It is an arithmetic number, because the mean of its divisors is an integer number (7023510).

Almost surely, 2^82100127 is an apocalyptic number.

82100127 is a deficient number, since it is larger than the sum of its proper divisors (30276033).

82100127 is a wasteful number, since it uses less digits than its factorization.

82100127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 82100127 is about 9060.9120401867. The cubic root of 82100127 is about 434.6249058793.

Subtracting from 82100127 its reverse (72100128), we obtain a palindrome (9999999).

The spelling of 82100127 in words is "eighty-two million, one hundred thousand, one hundred twenty-seven".