305004961 has 2 divisors, whose sum is σ = 305004962. Its totient is φ = 305004960.

The previous prime is 305004911. The next prime is 305004979. The reversal of 305004961 is 169400503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171741025 + 133263936 = 13105^2 + 11544^2 .

It is an emirp because it is prime and its reverse (169400503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305004961 - 2¹⁷ = 304873889 is a prime.

It is a super-2 number, since 2×305004961² = 186056052469223042, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (305004901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152502480 + 152502481.

It is an arithmetic number, because the mean of its divisors is an integer number (152502481).

Almost surely, 2^305004961 is an apocalyptic number.

It is an amenable number.

305004961 is a deficient number, since it is larger than the sum of its proper divisors (1).

305004961 is an equidigital number, since it uses as much as digits as its factorization.

305004961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 305004961 is about 17464.3912290122. The cubic root of 305004961 is about 673.1351993304.

The spelling of 305004961 in words is "three hundred five million, four thousand, nine hundred sixty-one".