66577723 has 4 divisors (see below), whose sum is σ = 66976560. Its totient is φ = 66178888.

The previous prime is 66577711. The next prime is 66577733. The reversal of 66577723 is 32777566.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 32777566 = 2 ⋅16388783.

It is a cyclic number.

It is not a de Polignac number, because 66577723 - 2¹⁷ = 66446651 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66577723.

It is not an unprimeable number, because it can be changed into a prime (66577733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199168 + ... + 199501.

It is an arithmetic number, because the mean of its divisors is an integer number (16744140).

Almost surely, 2^66577723 is an apocalyptic number.

66577723 is a deficient number, since it is larger than the sum of its proper divisors (398837).

66577723 is a wasteful number, since it uses less digits than its factorization.

66577723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398836.

The product of its digits is 370440, while the sum is 43.

The square root of 66577723 is about 8159.5173264109. The cubic root of 66577723 is about 405.2997283362.

The spelling of 66577723 in words is "sixty-six million, five hundred seventy-seven thousand, seven hundred twenty-three".