82201601 has 2 divisors, whose sum is σ = 82201602. Its totient is φ = 82201600.

The previous prime is 82201571. The next prime is 82201621. The reversal of 82201601 is 10610228.

It is an a-pointer prime, because the next prime (82201621) can be obtained adding 82201601 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58920976 + 23280625 = 7676^2 + 4825^2 .

It is a cyclic number.

It is not a de Polignac number, because 82201601 - 2¹⁰ = 82200577 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82201621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41100800 + 41100801.

It is an arithmetic number, because the mean of its divisors is an integer number (41100801).

Almost surely, 2^82201601 is an apocalyptic number.

It is an amenable number.

82201601 is a deficient number, since it is larger than the sum of its proper divisors (1).

82201601 is an equidigital number, since it uses as much as digits as its factorization.

82201601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 82201601 is about 9066.5098577126. The cubic root of 82201601 is about 434.8038945183.

Adding to 82201601 its reverse (10610228), we get a palindrome (92811829).

The spelling of 82201601 in words is "eighty-two million, two hundred one thousand, six hundred one".