993985 has 8 divisors (see below), whose sum is σ = 1255680. Its totient is φ = 753264.

The previous prime is 993983. The next prime is 993997. The reversal of 993985 is 589399.

993985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 993985 - 2¹ = 993983 is a prime.

993985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (993983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5137 + ... + 5326.

It is an arithmetic number, because the mean of its divisors is an integer number (156960).

2⁹⁹³⁹⁸⁵ is an apocalyptic number.

993985 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

993985 is a deficient number, since it is larger than the sum of its proper divisors (261695).

993985 is a wasteful number, since it uses less digits than its factorization.

993985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10487.

The product of its digits is 87480, while the sum is 43.

The square root of 993985 is about 996.9879638190. The cubic root of 993985 is about 99.7990966487.

The spelling of 993985 in words is "nine hundred ninety-three thousand, nine hundred eighty-five".