65814 has 16 divisors (see below), whose sum is σ = 150528. Its totient is φ = 18792.

The previous prime is 65809. The next prime is 65827. The reversal of 65814 is 41856.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65814.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 742 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2⁶⁵⁸¹⁴ is an apocalyptic number.

65814 is an abundant number, since it is smaller than the sum of its proper divisors (84714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264).

65814 is a wasteful number, since it uses less digits than its factorization.

65814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579.

The product of its digits is 960, while the sum is 24.

The square root of 65814 is about 256.5423941574. The cubic root of 65814 is about 40.3744013241.

The spelling of 65814 in words is "sixty-five thousand, eight hundred fourteen".