53609 has 2 divisors, whose sum is σ = 53610. Its totient is φ = 53608.

The previous prime is 53597. The next prime is 53611. The reversal of 53609 is 90635.

53609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 24025 = 172^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 53609 - 2⁴ = 53593 is a prime.

Together with 53611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (53629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26804 + 26805.

It is an arithmetic number, because the mean of its divisors is an integer number (26805).

2⁵³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

53609 is a deficient number, since it is larger than the sum of its proper divisors (1).

53609 is an equidigital number, since it uses as much as digits as its factorization.

53609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 53609 is about 231.5361742795. The cubic root of 53609 is about 37.7061828049.

The spelling of 53609 in words is "fifty-three thousand, six hundred nine".