993117 has 16 divisors (see below), whose sum is σ = 1422720. Its totient is φ = 614592.

The previous prime is 993107. The next prime is 993121. The reversal of 993117 is 711399.

It is not a de Polignac number, because 993117 - 2⁶ = 993053 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993117.

It is not an unprimeable number, because it can be changed into a prime (993107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2359 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

2⁹⁹³¹¹⁷ is an apocalyptic number.

It is an amenable number.

993117 is a deficient number, since it is larger than the sum of its proper divisors (429603).

993117 is a wasteful number, since it uses less digits than its factorization.

993117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452.

The product of its digits is 1701, while the sum is 30.

The square root of 993117 is about 996.5525575703. The cubic root of 993117 is about 99.7700382480.

The spelling of 993117 in words is "nine hundred ninety-three thousand, one hundred seventeen".