102565 has 8 divisors (see below), whose sum is σ = 125208. Its totient is φ = 80640.

The previous prime is 102563. The next prime is 102587. The reversal of 102565 is 565201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 83521 = 138^2 + 289^2 .

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

It is not a de Polignac number, because 102565 - 2¹ = 102563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102563) 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 in 7 ways as a sum of consecutive naturals, for example, 225 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (15651).

2¹⁰²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

102565 is a deficient number, since it is larger than the sum of its proper divisors (22643).

102565 is an equidigital number, since it uses as much as digits as its factorization.

102565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 102565 is about 320.2577087285. The cubic root of 102565 is about 46.8093986043.

Adding to 102565 its reverse (565201), we get a palindrome (667766).

It can be divided in two parts, 102 and 565, that multiplied together give a triangular number (57630 = T₃₃₉).

The spelling of 102565 in words is "one hundred two thousand, five hundred sixty-five".