83666 has 8 divisors (see below), whose sum is σ = 136944. Its totient is φ = 38020.

The previous prime is 83663. The next prime is 83689. The reversal of 83666 is 66638.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83666.

It is not an unprimeable number, because it can be changed into a prime (83663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1880 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (17118).

2⁸³⁶⁶⁶ is an apocalyptic number.

83666 is a deficient number, since it is larger than the sum of its proper divisors (53278).

83666 is a wasteful number, since it uses less digits than its factorization.

83666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816.

The product of its digits is 5184, while the sum is 29.

The square root of 83666 is about 289.2507562652. The cubic root of 83666 is about 43.7370682868.

It can be divided in two parts, 83 and 666, that multiplied together give a triangular number (55278 = T₃₃₂).

The spelling of 83666 in words is "eighty-three thousand, six hundred sixty-six".