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66317 = 174783
BaseRepresentation
bin10000001100001101
310100222012
4100030031
54110232
61231005
7364226
oct201415
9110865
1066317
1145909
1232465
1324254
141a24d
15149b2
hex1030d

66317 has 8 divisors (see below), whose sum is σ = 72576. Its totient is φ = 60352.

The previous prime is 66301. The next prime is 66337. The reversal of 66317 is 71366.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66317 - 24 = 66301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66292 and 66301.

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 66317.

It is not an unprimeable number, because it can be changed into a prime (66337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

266317 is an apocalyptic number.

It is an amenable number.

66317 is a deficient number, since it is larger than the sum of its proper divisors (6259).

66317 is a wasteful number, since it uses less digits than its factorization.

66317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 756, while the sum is 23.

The square root of 66317 is about 257.5208729404. The cubic root of 66317 is about 40.4769975563.

It can be divided in two parts, 66 and 317, that added together give a palindrome (383).

The spelling of 66317 in words is "sixty-six thousand, three hundred seventeen".

Divisors: 1 17 47 83 799 1411 3901 66317