102563 has 2 divisors, whose sum is σ = 102564. Its totient is φ = 102562.

The previous prime is 102559. The next prime is 102587. The reversal of 102563 is 365201.

It is a weak prime.

It is an emirp because it is prime and its reverse (365201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102563 - 2² = 102559 is a prime.

It is not a weakly prime, because it can be changed into another prime (102503) 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, 51281 + 51282.

It is an arithmetic number, because the mean of its divisors is an integer number (51282).

2¹⁰²⁵⁶³ is an apocalyptic number.

102563 is a deficient number, since it is larger than the sum of its proper divisors (1).

102563 is an equidigital number, since it uses as much as digits as its factorization.

102563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 102563 is about 320.2545862279. The cubic root of 102563 is about 46.8090943439.

Adding to 102563 its reverse (365201), we get a palindrome (467764).

The spelling of 102563 in words is "one hundred two thousand, five hundred sixty-three".