305404873 has 2 divisors, whose sum is σ = 305404874. Its totient is φ = 305404872.

The previous prime is 305404871. The next prime is 305404889. The reversal of 305404873 is 378404503.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211179024 + 94225849 = 14532^2 + 9707^2 .

It is an emirp because it is prime and its reverse (378404503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305404873 - 2¹ = 305404871 is a prime.

It is a super-2 number, since 2×305404873² = 186544272904292258, which contains 22 as substring.

Together with 305404871, it forms a pair of twin primes.

It is equal to p_16529083 and since 305404873 and 16529083 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (305404871) 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, 152702436 + 152702437.

It is an arithmetic number, because the mean of its divisors is an integer number (152702437).

Almost surely, 2^305404873 is an apocalyptic number.

It is an amenable number.

305404873 is a deficient number, since it is larger than the sum of its proper divisors (1).

305404873 is an equidigital number, since it uses as much as digits as its factorization.

305404873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 305404873 is about 17475.8368326098. The cubic root of 305404873 is about 673.4292680734.

The spelling of 305404873 in words is "three hundred five million, four hundred four thousand, eight hundred seventy-three".