66677 has 8 divisors (see below), whose sum is σ = 75264. Its totient is φ = 58608.

The previous prime is 66653. The next prime is 66683. The reversal of 66677 is 77666.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66677 - 2¹² = 62581 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2⁶⁶⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

66677 is a deficient number, since it is larger than the sum of its proper divisors (8587).

66677 is a wasteful number, since it uses less digits than its factorization.

66677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its digits is 10584, while the sum is 32.

The square root of 66677 is about 258.2188993858. The cubic root of 66677 is about 40.5501081763.

The spelling of 66677 in words is "sixty-six thousand, six hundred seventy-seven".