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116217 = 3237349
BaseRepresentation
bin11100010111111001
312220102100
4130113321
512204332
62254013
7662553
oct342771
9186370
10116217
117a352
1257309
1340b8a
14304d3
152467c
hex1c5f9

116217 has 12 divisors (see below), whose sum is σ = 172900. Its totient is φ = 75168.

The previous prime is 116201. The next prime is 116239. The reversal of 116217 is 712611.

Added to its reverse (712611) it gives a triangular number (828828 = T1287).

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 20736 = 309^2 + 144^2 .

It is not a de Polignac number, because 116217 - 24 = 116201 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 116217.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116217.

It is not an unprimeable number, because it can be changed into a prime (116257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159 + ... + 507.

2116217 is an apocalyptic number.

It is an amenable number.

116217 is a deficient number, since it is larger than the sum of its proper divisors (56683).

116217 is a wasteful number, since it uses less digits than its factorization.

116217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 116217 is about 340.9061454418. The cubic root of 116217 is about 48.8003818388.

Adding to 116217 its reverse (712611), we get a palindrome (828828).

It can be divided in two parts, 11621 and 7, that added together give a triangular number (11628 = T152).

The spelling of 116217 in words is "one hundred sixteen thousand, two hundred seventeen".

Divisors: 1 3 9 37 111 333 349 1047 3141 12913 38739 116217