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17119 = 171953
BaseRepresentation
bin100001011011111
3212111001
410023133
51021434
6211131
7100624
oct41337
925431
1017119
1111953
129aa7
137a3b
14634b
155114
hex42df

17119 has 8 divisors (see below), whose sum is σ = 19440. Its totient is φ = 14976.

The previous prime is 17117. The next prime is 17123. The reversal of 17119 is 91171.

It can be divided in two parts, 171 and 19, that multiplied together give a square (3249 = 572).

It is a happy number.

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 17119 - 21 = 17117 is a prime.

It is a super-2 number, since 2×171192 = 586120322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

17119 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 17096 and 17105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17117) 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, 297 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

217119 is an apocalyptic number.

17119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

17119 is a deficient number, since it is larger than the sum of its proper divisors (2321).

17119 is a wasteful number, since it uses less digits than its factorization.

17119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89.

The product of its digits is 63, while the sum is 19.

The square root of 17119 is about 130.8395964531. The cubic root of 17119 is about 25.7726730269.

The spelling of 17119 in words is "seventeen thousand, one hundred nineteen".

Divisors: 1 17 19 53 323 901 1007 17119