82241127 has 12 divisors (see below), whose sum is σ = 118877304. Its totient is φ = 54788400.

The previous prime is 82241119. The next prime is 82241149. The reversal of 82241127 is 72114228.

It is not a de Polignac number, because 82241127 - 2³ = 82241119 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82241127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82241167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16252 + ... + 20702.

It is an arithmetic number, because the mean of its divisors is an integer number (9906442).

Almost surely, 2^82241127 is an apocalyptic number.

82241127 is a deficient number, since it is larger than the sum of its proper divisors (36636177).

82241127 is a wasteful number, since it uses less digits than its factorization.

82241127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6507 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 82241127 is about 9068.6893760896. The cubic root of 82241127 is about 434.8735740406.

The spelling of 82241127 in words is "eighty-two million, two hundred forty-one thousand, one hundred twenty-seven".