66309 has 12 divisors (see below), whose sum is σ = 95328. Its totient is φ = 40920.

The previous prime is 66301. The next prime is 66337. The reversal of 66309 is 90366.

It is not a de Polignac number, because 66309 - 2³ = 66301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2124 + ... + 2154.

It is an arithmetic number, because the mean of its divisors is an integer number (7944).

2⁶⁶³⁰⁹ is an apocalyptic number.

66309 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

66309 is the 138-th nonagonal number.

It is an amenable number.

66309 is a deficient number, since it is larger than the sum of its proper divisors (29019).

66309 is a wasteful number, since it uses less digits than its factorization.

66309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 66309 is about 257.5053397505. The cubic root of 66309 is about 40.4753698741.

The spelling of 66309 in words is "sixty-six thousand, three hundred nine".