65041 has 4 divisors (see below), whose sum is σ = 65572. Its totient is φ = 64512.

The previous prime is 65033. The next prime is 65053. The reversal of 65041 is 14056.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 48400 = 129^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 65041 - 2³ = 65033 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65011) 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, 25 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (16393).

2⁶⁵⁰⁴¹ is an apocalyptic number.

It is an amenable number.

65041 is a deficient number, since it is larger than the sum of its proper divisors (531).

65041 is a wasteful number, since it uses less digits than its factorization.

65041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 65041 is about 255.0313706194. The cubic root of 65041 is about 40.2157096427.

Subtracting from 65041 its sum of digits (16), we obtain a square (65025 = 255²).

Adding to 65041 its reverse (14056), we get a palindrome (79097).

The spelling of 65041 in words is "sixty-five thousand, forty-one".