52309 has 6 divisors (see below), whose sum is σ = 55874. Its totient is φ = 48960.

The previous prime is 52301. The next prime is 52313. The reversal of 52309 is 90325.

52309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6084 + 46225 = 78^2 + 215^2 .

It is not a de Polignac number, because 52309 - 2³ = 52301 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199 + ... + 379.

2⁵²³⁰⁹ is an apocalyptic number.

It is an amenable number.

52309 is a deficient number, since it is larger than the sum of its proper divisors (3565).

52309 is a wasteful number, since it uses less digits than its factorization.

52309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 52309 is about 228.7116088003. The cubic root of 52309 is about 37.3988980392.

It can be divided in two parts, 52 and 309, that added together give a square (361 = 19²).

The spelling of 52309 in words is "fifty-two thousand, three hundred nine".