82122001 has 12 divisors (see below), whose sum is σ = 90065280. Its totient is φ = 74833200.

The previous prime is 82121999. The next prime is 82122049. The reversal of 82122001 is 10022128.

It is not a de Polignac number, because 82122001 - 2¹ = 82121999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82122071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10276 + ... + 16426.

It is an arithmetic number, because the mean of its divisors is an integer number (7505440).

Almost surely, 2^82122001 is an apocalyptic number.

It is an amenable number.

82122001 is a deficient number, since it is larger than the sum of its proper divisors (7943279).

82122001 is a wasteful number, since it uses less digits than its factorization.

82122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 82122001 is about 9062.1190126813. The cubic root of 82122001 is about 434.6635016011.

Adding to 82122001 its reverse (10022128), we get a palindrome (92144129).

It can be divided in two parts, 821 and 22001, that added together give a palindrome (22822).

The spelling of 82122001 in words is "eighty-two million, one hundred twenty-two thousand, one".