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53717 is a prime number
BaseRepresentation
bin1101000111010101
32201200112
431013111
53204332
61052405
7312416
oct150725
981615
1053717
11373a4
1227105
131b5b1
141580d
1510db2
hexd1d5

53717 has 2 divisors, whose sum is σ = 53718. Its totient is φ = 53716.

The previous prime is 53699. The next prime is 53719. The reversal of 53717 is 71735.

It is a happy number.

53717 is nontrivially palindromic in base 13.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45796 + 7921 = 214^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 53717 - 26 = 53653 is a prime.

Together with 53719, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 53692 and 53701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26858 + 26859.

It is an arithmetic number, because the mean of its divisors is an integer number (26859).

253717 is an apocalyptic number.

It is an amenable number.

53717 is a deficient number, since it is larger than the sum of its proper divisors (1).

53717 is an equidigital number, since it uses as much as digits as its factorization.

53717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 735, while the sum is 23.

The square root of 53717 is about 231.7692818300. The cubic root of 53717 is about 37.7314866168.

The spelling of 53717 in words is "fifty-three thousand, seven hundred seventeen".