93663 has 8 divisors (see below), whose sum is σ = 138800. Its totient is φ = 62424.

The previous prime is 93637. The next prime is 93683. The reversal of 93663 is 36639.

It is not a de Polignac number, because 93663 - 2⁸ = 93407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3469 = 93663 / (9 + 3 + 6 + 6 + 3).

It is an Ulam number.

It is a d-powerful number, because it can be written as 9² + 3³ + 6⁶ + 6⁶ + 3⁵ .

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93683) 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 7 ways as a sum of consecutive naturals, for example, 1708 + ... + 1761.

It is an arithmetic number, because the mean of its divisors is an integer number (17350).

2⁹³⁶⁶³ is an apocalyptic number.

93663 is a deficient number, since it is larger than the sum of its proper divisors (45137).

93663 is a wasteful number, since it uses less digits than its factorization.

93663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3472 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 93663 is about 306.0441144672. The cubic root of 93663 is about 45.4139580724.

Subtracting from 93663 its sum of digits (27), we obtain a square (93636 = 306²).

It can be divided in two parts, 936 and 63, that added together give a palindrome (999).

The spelling of 93663 in words is "ninety-three thousand, six hundred sixty-three".