96292 has 24 divisors (see below), whose sum is σ = 203840. Its totient is φ = 38880.

The previous prime is 96289. The next prime is 96293. The reversal of 96292 is 29269.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 96292.

It is not an unprimeable number, because it can be changed into a prime (96293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442 + ... + 622.

2⁹⁶²⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101920).

96292 is an abundant number, since it is smaller than the sum of its proper divisors (107548).

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

96292 is a wasteful number, since it uses less digits than its factorization.

96292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 96292 is about 310.3095228961. The cubic root of 96292 is about 45.8349472343.

The spelling of 96292 in words is "ninety-six thousand, two hundred ninety-two".