91966 has 8 divisors (see below), whose sum is σ = 157680. Its totient is φ = 39408.

The previous prime is 91961. The next prime is 91967. The reversal of 91966 is 66919.

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

It is a super-3 number, since 3×91966³ = 2333474973050088, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91961) by changing a digit.

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, 3271 + ... + 3298.

It is an arithmetic number, because the mean of its divisors is an integer number (19710).

2⁹¹⁹⁶⁶ is an apocalyptic number.

91966 is a deficient number, since it is larger than the sum of its proper divisors (65714).

91966 is a wasteful number, since it uses less digits than its factorization.

91966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578.

The product of its digits is 2916, while the sum is 31.

The square root of 91966 is about 303.2589652426. The cubic root of 91966 is about 45.1380125046.

The spelling of 91966 in words is "ninety-one thousand, nine hundred sixty-six".