94992 has 20 divisors (see below), whose sum is σ = 245520. Its totient is φ = 31648.

The previous prime is 94961. The next prime is 94993. The reversal of 94992 is 29949.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 94992.

It is not an unprimeable number, because it can be changed into a prime (94993) 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 3 ways as a sum of consecutive naturals, for example, 942 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2⁹⁴⁹⁹² is an apocalyptic number.

It is an amenable number.

94992 is an abundant number, since it is smaller than the sum of its proper divisors (150528).

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 (122760).

94992 is a wasteful number, since it uses less digits than its factorization.

94992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 94992 is about 308.2077221615. The cubic root of 94992 is about 45.6277455031.

The spelling of 94992 in words is "ninety-four thousand, nine hundred ninety-two".