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10717 = 71531
BaseRepresentation
bin10100111011101
3112200221
42213131
5320332
6121341
743150
oct24735
915627
1010717
118063
126251
134b55
143c97
153297
hex29dd

10717 has 4 divisors (see below), whose sum is σ = 12256. Its totient is φ = 9180.

The previous prime is 10711. The next prime is 10723. The reversal of 10717 is 71701.

Subtracting from 10717 its sum of digits (16), we obtain a palindrome (10701).

It can be divided in two parts, 10 and 717, that added together give a palindrome (727).

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 71701 = 710243.

It is an interprime number because it is at equal distance from previous prime (10711) and next prime (10723).

It is a cyclic number.

It is not a de Polignac number, because 10717 - 23 = 10709 is a prime.

It is a super-2 number, since 2×107172 = 229708178, which contains 22 as substring.

It is a Duffinian number.

It is the 33-rd Perrin number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 759 + ... + 772.

It is an arithmetic number, because the mean of its divisors is an integer number (3064).

210717 is an apocalyptic number.

It is an amenable number.

10717 is a deficient number, since it is larger than the sum of its proper divisors (1539).

10717 is an equidigital number, since it uses as much as digits as its factorization.

10717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 10717 is about 103.5229443167. The cubic root of 10717 is about 22.0474183830.

The spelling of 10717 in words is "ten thousand, seven hundred seventeen", and thus it is an iban number.

Divisors: 1 7 1531 10717