66771 has 8 divisors (see below), whose sum is σ = 98960. Its totient is φ = 44496.

The previous prime is 66763. The next prime is 66791. The reversal of 66771 is 17766.

It is not a de Polignac number, because 66771 - 2³ = 66763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2473 = 66771 / (6 + 6 + 7 + 7 + 1).

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66701) 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, 1210 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (12370).

2⁶⁶⁷⁷¹ is an apocalyptic number.

66771 is a deficient number, since it is larger than the sum of its proper divisors (32189).

66771 is a wasteful number, since it uses less digits than its factorization.

66771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 66771 is about 258.4008513918. The cubic root of 66771 is about 40.5691548258.

The spelling of 66771 in words is "sixty-six thousand, seven hundred seventy-one".