82320101 has 2 divisors, whose sum is σ = 82320102. Its totient is φ = 82320100.

The previous prime is 82320089. The next prime is 82320107. The reversal of 82320101 is 10102328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59985025 + 22335076 = 7745^2 + 4726^2 .

It is a cyclic number.

It is not a de Polignac number, because 82320101 - 2⁶ = 82320037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82320101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41160050 + 41160051.

It is an arithmetic number, because the mean of its divisors is an integer number (41160051).

Almost surely, 2^82320101 is an apocalyptic number.

It is an amenable number.

82320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

82320101 is an equidigital number, since it uses as much as digits as its factorization.

82320101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82320101 is about 9073.0425437116. The cubic root of 82320101 is about 435.0127287419.

Adding to 82320101 its reverse (10102328), we get a palindrome (92422429).

The spelling of 82320101 in words is "eighty-two million, three hundred twenty thousand, one hundred one".