• 17313² = 299739969 is the smallest square that contains exactly five digits '9'.

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17313 has 8 divisors (see below), whose sum is σ = 24000. Its totient is φ = 11088.

The previous prime is 17299. The next prime is 17317. The reversal of 17313 is 31371.

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

It is not a de Polignac number, because 17313 - 2¹² = 13217 is a prime.

17313 is a lucky number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 17292 and 17301.

It is not an unprimeable number, because it can be changed into a prime (17317) 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, 13 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

2¹⁷³¹³ is an apocalyptic number.

It is an amenable number.

17313 is a deficient number, since it is larger than the sum of its proper divisors (6687).

17313 is a wasteful number, since it uses less digits than its factorization.

17313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its digits is 63, while the sum is 15.

The square root of 17313 is about 131.5788736842. The cubic root of 17313 is about 25.8696633023.

Adding to 17313 its reverse (31371), we get a palindrome (48684).

The spelling of 17313 in words is "seventeen thousand, three hundred thirteen".