84993 has 8 divisors (see below), whose sum is σ = 116256. Its totient is φ = 55200.

The previous prime is 84991. The next prime is 85009. The reversal of 84993 is 39948.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 84993 - 2¹ = 84991 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (14532).

It is a Proth number, since it is equal to 83 ⋅ 2¹⁰ + 1 and 83 < 2¹⁰.

2⁸⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

84993 is a deficient number, since it is larger than the sum of its proper divisors (31263).

84993 is a wasteful number, since it uses less digits than its factorization.

84993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its digits is 7776, while the sum is 33.

The square root of 84993 is about 291.5355895941. The cubic root of 84993 is about 43.9670897156.

The spelling of 84993 in words is "eighty-four thousand, nine hundred ninety-three".