66785 has 12 divisors (see below), whose sum is σ = 86868. Its totient is φ = 49248.

The previous prime is 66763. The next prime is 66791. The reversal of 66785 is 58766.

It can be written as a sum of positive squares in 2 ways, for example, as 43681 + 23104 = 209^2 + 152^2 .

It is not a de Polignac number, because 66785 - 2⁶ = 66721 is a prime.

Its product of digits (10080) is a multiple of the sum of its prime factors (80).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1787 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (7239).

2⁶⁶⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

66785 is a deficient number, since it is larger than the sum of its proper divisors (20083).

66785 is a wasteful number, since it uses less digits than its factorization.

66785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 66785 is about 258.4279396660. The cubic root of 66785 is about 40.5719900311.

The spelling of 66785 in words is "sixty-six thousand, seven hundred eighty-five".