82127000 has 64 divisors (see below), whose sum is σ = 203523840. Its totient is φ = 30912000.

The previous prime is 82126991. The next prime is 82127041. The reversal of 82127000 is 72128.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14585 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (3180060).

Almost surely, 2^82127000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101761920).

82127000 is an abundant number, since it is smaller than the sum of its proper divisors (121396840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82127000 is a wasteful number, since it uses less digits than its factorization.

82127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 82127000 is about 9062.3948269759. The cubic root of 82127000 is about 434.6723211571.

Adding to 82127000 its reverse (72128), we get a palindrome (82199128).

The spelling of 82127000 in words is "eighty-two million, one hundred twenty-seven thousand".