993663 has 12 divisors (see below), whose sum is σ = 1565928. Its totient is φ = 602160.

The previous prime is 993647. The next prime is 993679. The reversal of 993663 is 366399.

It is an interprime number because it is at equal distance from previous prime (993647) and next prime (993679).

It is not a de Polignac number, because 993663 - 2⁴ = 993647 is a prime.

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 993663.

It is not an unprimeable number, because it can be changed into a prime (993683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4920 + ... + 5117.

It is an arithmetic number, because the mean of its divisors is an integer number (130494).

2⁹⁹³⁶⁶³ is an apocalyptic number.

993663 is a deficient number, since it is larger than the sum of its proper divisors (572265).

993663 is a wasteful number, since it uses less digits than its factorization.

993663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054 (or 10051 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 993663 is about 996.8264643357. The cubic root of 993663 is about 99.7883188939.

Subtracting from 993663 its reverse (366399), we obtain a square (627264 = 792²).

It can be divided in two parts, 9936 and 63, that added together give a palindrome (9999).

The spelling of 993663 in words is "nine hundred ninety-three thousand, six hundred sixty-three".