91992 has 16 divisors (see below), whose sum is σ = 230040. Its totient is φ = 30656.

The previous prime is 91969. The next prime is 91997. The reversal of 91992 is 29919.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91992.

It is not an unprimeable number, because it can be changed into a prime (91997) by changing a digit.

91992 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 in 3 ways as a sum of consecutive naturals, for example, 1893 + ... + 1940.

2⁹¹⁹⁹² is an apocalyptic number.

It is an amenable number.

91992 is an abundant number, since it is smaller than the sum of its proper divisors (138048).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115020).

91992 is a wasteful number, since it uses less digits than its factorization.

91992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3838 counting only the distinct ones).

The product of its digits is 1458, while the sum is 30.

The square root of 91992 is about 303.3018298659. The cubic root of 91992 is about 45.1422658074.

It can be divided in two parts, 919 and 92, that multiplied together give a palindrome (84548).

The spelling of 91992 in words is "ninety-one thousand, nine hundred ninety-two".