91785966 has 32 divisors (see below), whose sum is σ = 186920448. Its totient is φ = 30041280.

The previous prime is 91785961. The next prime is 91785989. The reversal of 91785966 is 66958719.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91785961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160461 + ... + 161031.

It is an arithmetic number, because the mean of its divisors is an integer number (5841264).

Almost surely, 2^91785966 is an apocalyptic number.

91785966 is an abundant number, since it is smaller than the sum of its proper divisors (95134482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91785966 is a wasteful number, since it uses less digits than its factorization.

91785966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016.

The product of its digits is 816480, while the sum is 51.

The square root of 91785966 is about 9580.4992563018. The cubic root of 91785966 is about 451.0853898360.

The spelling of 91785966 in words is "ninety-one million, seven hundred eighty-five thousand, nine hundred sixty-six".