83966 has 4 divisors (see below), whose sum is σ = 125952. Its totient is φ = 41982.

The previous prime is 83939. The next prime is 83969. The reversal of 83966 is 66938.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 66938 = 2 ⋅33469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83969) by changing a digit.

83966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20990 + ... + 20993.

It is an arithmetic number, because the mean of its divisors is an integer number (31488).

2⁸³⁹⁶⁶ is an apocalyptic number.

83966 is a deficient number, since it is larger than the sum of its proper divisors (41986).

83966 is a wasteful number, since it uses less digits than its factorization.

83966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41985.

The product of its digits is 7776, while the sum is 32.

The square root of 83966 is about 289.7688734147. The cubic root of 83966 is about 43.7892817264.

The spelling of 83966 in words is "eighty-three thousand, nine hundred sixty-six".