82127844 has 30 divisors (see below), whose sum is σ = 214699254. Its totient is φ = 27375840.

The previous prime is 82127831. The next prime is 82127849. The reversal of 82127844 is 44872128.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 1127844 = 9000^2 + 1062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82127799 and 82127808.

It is not an unprimeable number, because it can be changed into a prime (82127849) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 126417 + ... + 127064.

Almost surely, 2^82127844 is an apocalyptic number.

It is an amenable number.

82127844 is an abundant number, since it is smaller than the sum of its proper divisors (132571410).

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

82127844 is a wasteful number, since it uses less digits than its factorization.

82127844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253497 (or 253486 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 82127844 is about 9062.4413929139. The cubic root of 82127844 is about 434.6738101607.

The spelling of 82127844 in words is "eighty-two million, one hundred twenty-seven thousand, eight hundred forty-four".