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5217 = 33747
BaseRepresentation
bin1010001100001
321011020
41101201
5131332
640053
721132
oct12141
97136
105217
113a13
123029
1324b4
141c89
15182c
hex1461

5217 has 8 divisors (see below), whose sum is σ = 7296. Its totient is φ = 3312.

The previous prime is 5209. The next prime is 5227. The reversal of 5217 is 7125.

It is a happy number.

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

It is not a de Polignac number, because 5217 - 23 = 5209 is a prime.

5217 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5196 and 5205.

It is not an unprimeable number, because it can be changed into a prime (5227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

It is an amenable number.

5217 is a deficient number, since it is larger than the sum of its proper divisors (2079).

5217 is a wasteful number, since it uses less digits than its factorization.

5217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87.

The product of its digits is 70, while the sum is 15.

The square root of 5217 is about 72.2288031190. The cubic root of 5217 is about 17.3436411405.

It can be divided in two parts, 521 and 7, that added together give a triangular number (528 = T32).

The spelling of 5217 in words is "five thousand, two hundred seventeen".

Divisors: 1 3 37 47 111 141 1739 5217