65605 has 4 divisors (see below), whose sum is σ = 78732. Its totient is φ = 52480.

The previous prime is 65599. The next prime is 65609. The reversal of 65605 is 50656.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 49729 = 126^2 + 223^2 .

It is not a de Polignac number, because 65605 - 2¹³ = 57413 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6556 + ... + 6565.

It is an arithmetic number, because the mean of its divisors is an integer number (19683).

2⁶⁵⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

65605 is a deficient number, since it is larger than the sum of its proper divisors (13127).

65605 is a wasteful number, since it uses less digits than its factorization.

65605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13126.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 65605 is about 256.1347301714. The cubic root of 65605 is about 40.3316181377.

The spelling of 65605 in words is "sixty-five thousand, six hundred five".