66393 has 8 divisors (see below), whose sum is σ = 98400. Its totient is φ = 44244.

The previous prime is 66383. The next prime is 66403. The reversal of 66393 is 39366.

It is an interprime number because it is at equal distance from previous prime (66383) and next prime (66403).

It is not a de Polignac number, because 66393 - 2⁴ = 66377 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: 2459 = 66393 / (6 + 6 + 3 + 9 + 3).

It is a d-powerful number, because it can be written as 6² + 6⁶ + 3² + 9 + 3⁹ .

It is not an unprimeable number, because it can be changed into a prime (66343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (12300).

2⁶⁶³⁹³ is an apocalyptic number.

It is an amenable number.

66393 is a deficient number, since it is larger than the sum of its proper divisors (32007).

66393 is a wasteful number, since it uses less digits than its factorization.

66393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

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

The square root of 66393 is about 257.6683915423. The cubic root of 66393 is about 40.4924540125.

Subtracting from 66393 its sum of digits (27), we obtain a palindrome (66366).

The spelling of 66393 in words is "sixty-six thousand, three hundred ninety-three".