804045101 has 2 divisors, whose sum is σ = 804045102. Its totient is φ = 804045100.

The previous prime is 804045079. The next prime is 804045103. The reversal of 804045101 is 101540408.

804045101 = 20050² + 20051².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402042601 + 402002500 = 20051^2 + 20050^2 .

It is a cyclic number.

It is not a de Polignac number, because 804045101 - 2⁶ = 804045037 is a prime.

It is a Sophie Germain prime.

Together with 804045103, 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 (804045103) 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, 402022550 + 402022551.

It is an arithmetic number, because the mean of its divisors is an integer number (402022551).

Almost surely, 2^804045101 is an apocalyptic number.

804045101 is the 20051-st centered square number.

It is an amenable number.

804045101 is a deficient number, since it is larger than the sum of its proper divisors (1).

804045101 is an equidigital number, since it uses as much as digits as its factorization.

804045101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 804045101 is about 28355.6890411783. The cubic root of 804045101 is about 929.8797782700.

Adding to 804045101 its reverse (101540408), we get a palindrome (905585509).

The spelling of 804045101 in words is "eight hundred four million, forty-five thousand, one hundred one".