82240001 has 2 divisors, whose sum is σ = 82240002. Its totient is φ = 82240000.

The previous prime is 82239991. The next prime is 82240003. The reversal of 82240001 is 10004228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73119601 + 9120400 = 8551^2 + 3020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82240001 is a prime.

It is a Sophie Germain prime.

Together with 82240003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41120000 + 41120001.

It is an arithmetic number, because the mean of its divisors is an integer number (41120001).

Almost surely, 2^82240001 is an apocalyptic number.

It is an amenable number.

82240001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82240001 is an equidigital number, since it uses as much as digits as its factorization.

82240001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 82240001 is about 9068.6272941388. The cubic root of 82240001 is about 434.8715893488.

Adding to 82240001 its reverse (10004228), we get a palindrome (92244229).

The spelling of 82240001 in words is "eighty-two million, two hundred forty thousand, one".