82201621 has 2 divisors, whose sum is σ = 82201622. Its totient is φ = 82201620.

The previous prime is 82201601. The next prime is 82201627. The reversal of 82201621 is 12610228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47803396 + 34398225 = 6914^2 + 5865^2 .

It is a cyclic number.

It is not a de Polignac number, because 82201621 - 2²³ = 73813013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82201592 and 82201601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82201627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41100810 + 41100811.

It is an arithmetic number, because the mean of its divisors is an integer number (41100811).

Almost surely, 2^82201621 is an apocalyptic number.

It is an amenable number.

82201621 is a deficient number, since it is larger than the sum of its proper divisors (1).

82201621 is an equidigital number, since it uses as much as digits as its factorization.

82201621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 82201621 is about 9066.5109606728. The cubic root of 82201621 is about 434.8039297815.

Adding to 82201621 its reverse (12610228), we get a palindrome (94811849).

The spelling of 82201621 in words is "eighty-two million, two hundred one thousand, six hundred twenty-one".