66306249 has 16 divisors (see below), whose sum is σ = 98380800. Its totient is φ = 44137008.

The previous prime is 66306221. The next prime is 66306259. The reversal of 66306249 is 94260366.

It is not a de Polignac number, because 66306249 - 2⁹ = 66305737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66306259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21592 + ... + 24470.

It is an arithmetic number, because the mean of its divisors is an integer number (6148800).

Almost surely, 2^66306249 is an apocalyptic number.

It is an amenable number.

66306249 is a deficient number, since it is larger than the sum of its proper divisors (32074551).

66306249 is a wasteful number, since it uses less digits than its factorization.

66306249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66306249 is about 8142.8649135301. The cubic root of 66306249 is about 404.7481012460.

The spelling of 66306249 in words is "sixty-six million, three hundred six thousand, two hundred forty-nine".