53209 has 4 divisors (see below), whose sum is σ = 57316. Its totient is φ = 49104.

The previous prime is 53201. The next prime is 53231. The reversal of 53209 is 90235.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 90235 = 5 ⋅18047.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 38809 = 120^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 53209 - 2³ = 53201 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (53201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2034 + ... + 2059.

It is an arithmetic number, because the mean of its divisors is an integer number (14329).

2⁵³²⁰⁹ is an apocalyptic number.

It is an amenable number.

53209 is a deficient number, since it is larger than the sum of its proper divisors (4107).

53209 is a wasteful number, since it uses less digits than its factorization.

53209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106.

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

The square root of 53209 is about 230.6707610427. The cubic root of 53209 is about 37.6121678591.

It can be divided in two parts, 5320 and 9, that added together give a square (5329 = 73²).

The spelling of 53209 in words is "fifty-three thousand, two hundred nine".