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BaseRepresentation
bin10000000111010011
310100112120
4100013103
54103003
61225323
7363300
oct200723
9110476
1066003
1145653
1232243
1324072
141a0a7
1514853
hex101d3

66003 has 12 divisors (see below), whose sum is σ = 102600. Its totient is φ = 37632.

The previous prime is 65993. The next prime is 66029. The reversal of 66003 is 30066.

It is not a de Polignac number, because 66003 - 216 = 467 is a prime.

66003 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (66083) 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 11 ways as a sum of consecutive naturals, for example, 78 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

266003 is an apocalyptic number.

66003 is a deficient number, since it is larger than the sum of its proper divisors (36597).

66003 is a wasteful number, since it uses less digits than its factorization.

66003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 66003 is about 256.9104902490. The cubic root of 66003 is about 40.4130125060.

Adding to 66003 its reverse (30066), we get a palindrome (96069).

Subtracting from 66003 its reverse (30066), we obtain a cube (35937 = 333).

The spelling of 66003 in words is "sixty-six thousand, three".

Divisors: 1 3 7 21 49 147 449 1347 3143 9429 22001 66003