82111301 has 2 divisors, whose sum is σ = 82111302. Its totient is φ = 82111300.

The previous prime is 82111279. The next prime is 82111313. The reversal of 82111301 is 10311128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59691076 + 22420225 = 7726^2 + 4735^2 .

It is a cyclic number.

It is not a de Polignac number, because 82111301 - 2¹⁴ = 82094917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82111301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82111391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41055650 + 41055651.

It is an arithmetic number, because the mean of its divisors is an integer number (41055651).

Almost surely, 2^82111301 is an apocalyptic number.

It is an amenable number.

82111301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82111301 is an equidigital number, since it uses as much as digits as its factorization.

82111301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 82111301 is about 9061.5286238029. The cubic root of 82111301 is about 434.6446227728.

Adding to 82111301 its reverse (10311128), we get a palindrome (92422429).

The spelling of 82111301 in words is "eighty-two million, one hundred eleven thousand, three hundred one".