65541 has 8 divisors (see below), whose sum is σ = 99904. Its totient is φ = 37440.

The previous prime is 65539. The next prime is 65543. The reversal of 65541 is 14556.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65539) and next prime (65543).

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

It is not a de Polignac number, because 65541 - 2¹ = 65539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3121 = 65541 / (6 + 5 + 5 + 4 + 1).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65543) 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 7 ways as a sum of consecutive naturals, for example, 1540 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (12488).

2⁶⁵⁵⁴¹ is an apocalyptic number.

It is an amenable number.

65541 is a deficient number, since it is larger than the sum of its proper divisors (34363).

65541 is a wasteful number, since it uses less digits than its factorization.

65541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131.

The product of its digits is 600, while the sum is 21.

The square root of 65541 is about 256.0097654387. The cubic root of 65541 is about 40.3184988969.

It can be divided in two parts, 6554 and 1, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 65541 in words is "sixty-five thousand, five hundred forty-one".