53205 has 8 divisors (see below), whose sum is σ = 85152. Its totient is φ = 28368.

The previous prime is 53201. The next prime is 53231. The reversal of 53205 is 50235.

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

It is not a de Polignac number, because 53205 - 2² = 53201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 3547 = 53205 / (5 + 3 + 2 + 0 + 5).

It is a Curzon number.

53205 is a lucky number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1759 + ... + 1788.

It is an arithmetic number, because the mean of its divisors is an integer number (10644).

2⁵³²⁰⁵ is an apocalyptic number.

It is an amenable number.

53205 is a deficient number, since it is larger than the sum of its proper divisors (31947).

53205 is a wasteful number, since it uses less digits than its factorization.

53205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 53205 is about 230.6620905134. The cubic root of 53205 is about 37.6112253341.

The spelling of 53205 in words is "fifty-three thousand, two hundred five".