52605 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 23904.

The previous prime is 52583. The next prime is 52609. The reversal of 52605 is 50625.

It is not a de Polignac number, because 52605 - 2⁶ = 52541 is a prime.

It is a Curzon number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52609) 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 23 ways as a sum of consecutive naturals, for example, 232 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁵²⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

52605 is a deficient number, since it is larger than the sum of its proper divisors (52227).

52605 is a wasteful number, since it uses less digits than its factorization.

52605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52605 is about 229.3577990826. The cubic root of 52605 is about 37.4693082206.

The spelling of 52605 in words is "fifty-two thousand, six hundred five".