66306305 has 24 divisors (see below), whose sum is σ = 86961600. Its totient is φ = 48509760.

The previous prime is 66306283. The next prime is 66306311. The reversal of 66306305 is 50360366.

It is not a de Polignac number, because 66306305 - 2¹⁴ = 66289921 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110396 + ... + 110994.

It is an arithmetic number, because the mean of its divisors is an integer number (3623400).

Almost surely, 2^66306305 is an apocalyptic number.

66306305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66306305 is a deficient number, since it is larger than the sum of its proper divisors (20655295).

66306305 is a wasteful number, since it uses less digits than its factorization.

66306305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 66306305 is about 8142.8683521226. The cubic root of 66306305 is about 404.7482151914.

The spelling of 66306305 in words is "sixty-six million, three hundred six thousand, three hundred five".