102589 has 4 divisors (see below), whose sum is σ = 103356. Its totient is φ = 101824.

The previous prime is 102587. The next prime is 102593. The reversal of 102589 is 985201.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 80089 + 22500 = 283^2 + 150^2 .

It is a cyclic number.

It is not a de Polignac number, because 102589 - 2¹ = 102587 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 (102587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (25839).

2¹⁰²⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

102589 is a deficient number, since it is larger than the sum of its proper divisors (767).

102589 is an equidigital number, since it uses as much as digits as its factorization.

102589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 102589 is about 320.2951763608. The cubic root of 102589 is about 46.8130494207.

The spelling of 102589 in words is "one hundred two thousand, five hundred eighty-nine".