65514 has 16 divisors (see below), whose sum is σ = 133920. Its totient is φ = 21360.

The previous prime is 65497. The next prime is 65519. The reversal of 65514 is 41556.

It can be divided in two parts, 6551 and 4, that added together give a triangular number (6555 = T_{114}).

It is a happy number.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 65514.

It is not an unprimeable number, because it can be changed into a prime (65519) by changing a digit.

65514 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2^{65514} is an apocalyptic number.

65514 is an abundant number, since it is smaller than the sum of its proper divisors (68406).

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 (66960).

65514 is a wasteful number, since it uses less digits than its factorization.

65514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245.

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

The square root of 65514 is about 255.9570276433. The cubic root of 65514 is about 40.3129616557.

The spelling of 65514 in words is "sixty-five thousand, five hundred fourteen".

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