82440101 has 2 divisors, whose sum is σ = 82440102. Its totient is φ = 82440100.

The previous prime is 82440047. The next prime is 82440103. The reversal of 82440101 is 10104428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76912900 + 5527201 = 8770^2 + 2351^2 .

It is a cyclic number.

It is not a de Polignac number, because 82440101 - 2⁶ = 82440037 is a prime.

It is a Sophie Germain prime.

Together with 82440103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82440103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41220050 + 41220051.

It is an arithmetic number, because the mean of its divisors is an integer number (41220051).

Almost surely, 2^82440101 is an apocalyptic number.

It is an amenable number.

82440101 is a deficient number, since it is larger than the sum of its proper divisors (1).

82440101 is an equidigital number, since it uses as much as digits as its factorization.

82440101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 82440101 is about 9079.6531321411. The cubic root of 82440101 is about 435.2240023037.

Adding to 82440101 its reverse (10104428), we get a palindrome (92544529).

The spelling of 82440101 in words is "eighty-two million, four hundred forty thousand, one hundred one".