82144127 has 16 divisors (see below), whose sum is σ = 89931072. Its totient is φ = 74580480.

The previous prime is 82144099. The next prime is 82144133. The reversal of 82144127 is 72144128.

It is not a de Polignac number, because 82144127 - 2¹² = 82140031 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82144127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82144157) 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, 340727 + ... + 340967.

It is an arithmetic number, because the mean of its divisors is an integer number (5620692).

Almost surely, 2^82144127 is an apocalyptic number.

82144127 is a deficient number, since it is larger than the sum of its proper divisors (7786945).

82144127 is a wasteful number, since it uses less digits than its factorization.

82144127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578.

The product of its digits is 3584, while the sum is 29.

The square root of 82144127 is about 9063.3397266129. The cubic root of 82144127 is about 434.7025349942.

Subtracting from 82144127 its reverse (72144128), we obtain a palindrome (9999999).

The spelling of 82144127 in words is "eighty-two million, one hundred forty-four thousand, one hundred twenty-seven".