305663 has 2 divisors, whose sum is σ = 305664. Its totient is φ = 305662.

The previous prime is 305639. The next prime is 305717. The reversal of 305663 is 366503.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 305663 - 2⁸ = 305407 is a prime.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305603) 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, 152831 + 152832.

It is an arithmetic number, because the mean of its divisors is an integer number (152832).

2³⁰⁵⁶⁶³ is an apocalyptic number.

305663 is a deficient number, since it is larger than the sum of its proper divisors (1).

305663 is an equidigital number, since it uses as much as digits as its factorization.

305663 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 305663 is about 552.8679770072. The cubic root of 305663 is about 67.3618941238.

The spelling of 305663 in words is "three hundred five thousand, six hundred sixty-three".