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63617 is a prime number
BaseRepresentation
bin1111100010000001
310020021012
433202001
54013432
61210305
7353321
oct174201
9106235
1063617
1143884
1230995
1322c58
1419281
1513cb2
hexf881

63617 has 2 divisors, whose sum is σ = 63618. Its totient is φ = 63616.

The previous prime is 63611. The next prime is 63629. The reversal of 63617 is 71636.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 7921 = 236^2 + 89^2 .

63617 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 63617 - 24 = 63601 is a prime.

It is a Chen prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 63592 and 63601.

It is not a weakly prime, because it can be changed into another prime (63611) 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 as a sum of consecutive naturals, namely, 31808 + 31809.

It is an arithmetic number, because the mean of its divisors is an integer number (31809).

263617 is an apocalyptic number.

It is an amenable number.

63617 is a deficient number, since it is larger than the sum of its proper divisors (1).

63617 is an equidigital number, since it uses as much as digits as its factorization.

63617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 63617 is about 252.2241066988. The cubic root of 63617 is about 39.9200486343.

The spelling of 63617 in words is "sixty-three thousand, six hundred seventeen".