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93217 = 31297
BaseRepresentation
bin10110110000100001
311201212111
4112300201
510440332
61555321
7535525
oct266041
9151774
1093217
1164043
1245b41
1333577
1425d85
151c947
hex16c21

93217 has 6 divisors (see below), whose sum is σ = 97314. Its totient is φ = 89280.

The previous prime is 93199. The next prime is 93229. The reversal of 93217 is 71239.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 15376 = 279^2 + 124^2 .

It is not a de Polignac number, because 93217 - 27 = 93089 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (93257) 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 5 ways as a sum of consecutive naturals, for example, 913 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (16219).

93217 is a Friedman number, since it can be written as 97*31^2, using all its digits and the basic arithmetic operations.

293217 is an apocalyptic number.

93217 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

93217 is a deficient number, since it is larger than the sum of its proper divisors (4097).

93217 is an equidigital number, since it uses as much as digits as its factorization.

93217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its digits is 378, while the sum is 22.

The square root of 93217 is about 305.3145918557. The cubic root of 93217 is about 45.3417600156.

Adding to 93217 its sum of digits (22), we get a palindrome (93239).

It can be divided in two parts, 932 and 17, that added together give a palindrome (949).

The spelling of 93217 in words is "ninety-three thousand, two hundred seventeen".

Divisors: 1 31 97 961 3007 93217