65601 has 12 divisors (see below), whose sum is σ = 97812. Its totient is φ = 42336.

The previous prime is 65599. The next prime is 65609. The reversal of 65601 is 10656.

65601 is a `hidden beast` number, since 65 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 3600 = 249^2 + 60^2 .

It is not a de Polignac number, because 65601 - 2¹ = 65599 is a prime.

It is a Curzon number.

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 pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (8151).

2⁶⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

65601 is a deficient number, since it is larger than the sum of its proper divisors (32211).

65601 is a wasteful number, since it uses less digits than its factorization.

65601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65601 is about 256.1269216619. The cubic root of 65601 is about 40.3307984352.

Subtracting from 65601 its reverse (10656), we obtain a palindrome (54945).

It can be divided in two parts, 6560 and 1, that added together give a 8-th power (6561 = 3⁸).

The spelling of 65601 in words is "sixty-five thousand, six hundred one".