53605 has 8 divisors (see below), whose sum is σ = 65664. Its totient is φ = 42000.

The previous prime is 53597. The next prime is 53609. The reversal of 53605 is 50635.

53605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 53605 - 2³ = 53597 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 (53609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁵³⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

53605 is a deficient number, since it is larger than the sum of its proper divisors (12059).

53605 is a wasteful number, since it uses less digits than its factorization.

53605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 53605 is about 231.5275361593. The cubic root of 53605 is about 37.7052449743.

The spelling of 53605 in words is "fifty-three thousand, six hundred five".