82001021 has 4 divisors (see below), whose sum is σ = 82102944. Its totient is φ = 81899100.

The previous prime is 82000981. The next prime is 82001057. The reversal of 82001021 is 12010028.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82001021 - 2¹⁰ = 81999997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82000987 and 82001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82001071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49745 + ... + 51366.

It is an arithmetic number, because the mean of its divisors is an integer number (20525736).

Almost surely, 2^82001021 is an apocalyptic number.

It is an amenable number.

82001021 is a deficient number, since it is larger than the sum of its proper divisors (101923).

82001021 is a wasteful number, since it uses less digits than its factorization.

82001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101922.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 82001021 is about 9055.4415132560. The cubic root of 82001021 is about 434.4499517058.

Adding to 82001021 its reverse (12010028), we get a palindrome (94011049).

The spelling of 82001021 in words is "eighty-two million, one thousand, twenty-one".