82728127 has 2 divisors, whose sum is σ = 82728128. Its totient is φ = 82728126.

The previous prime is 82728059. The next prime is 82728133. The reversal of 82728127 is 72182728.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82728127 - 2⁷ = 82727999 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82728187) 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 as a sum of consecutive naturals, namely, 41364063 + 41364064.

It is an arithmetic number, because the mean of its divisors is an integer number (41364064).

Almost surely, 2^82728127 is an apocalyptic number.

82728127 is a deficient number, since it is larger than the sum of its proper divisors (1).

82728127 is an equidigital number, since it uses as much as digits as its factorization.

82728127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25088, while the sum is 37.

The square root of 82728127 is about 9095.5003710626. The cubic root of 82728127 is about 435.7302693667.

The spelling of 82728127 in words is "eighty-two million, seven hundred twenty-eight thousand, one hundred twenty-seven".