85966 has 8 divisors (see below), whose sum is σ = 131544. Its totient is φ = 42120.

The previous prime is 85933. The next prime is 85991. The reversal of 85966 is 66958.

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

It is a congruent number.

It is an unprimeable number.

85966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (16443).

2⁸⁵⁹⁶⁶ is an apocalyptic number.

85966 is a deficient number, since it is larger than the sum of its proper divisors (45578).

85966 is a wasteful number, since it uses less digits than its factorization.

85966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866.

The product of its digits is 12960, while the sum is 34.

The square root of 85966 is about 293.1995907228. The cubic root of 85966 is about 44.1342319519.

The spelling of 85966 in words is "eighty-five thousand, nine hundred sixty-six".