94500 has 96 divisors (see below), whose sum is σ = 349440. Its totient is φ = 21600.

The previous prime is 94483. The next prime is 94513. The reversal of 94500 is 549.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 94500.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13497 + ... + 13503.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁹⁴⁵⁰⁰ is an apocalyptic number.

94500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720).

94500 is an abundant number, since it is smaller than the sum of its proper divisors (254940).

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

94500 is a wasteful number, since it uses less digits than its factorization.

94500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 94500 is about 307.4085229788. The cubic root of 94500 is about 45.5488345781.

94500 divided by its product of nonzero digits (180) gives a palindrome (525).

The spelling of 94500 in words is "ninety-four thousand, five hundred".