65416 has 32 divisors (see below), whose sum is σ = 143640. Its totient is φ = 27648.

The previous prime is 65413. The next prime is 65419. The reversal of 65416 is 61456.

65416 = T₄₀ + T₄₁ + ... + T₇₆.

It is an interprime number because it is at equal distance from previous prime (65413) and next prime (65419).

It can be written as a sum of positive squares in 4 ways, for example, as 62500 + 2916 = 250^2 + 54^2 .

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

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750 + ... + 1786.

2⁶⁵⁴¹⁶ is an apocalyptic number.

65416 is the 148-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

65416 is an abundant number, since it is smaller than the sum of its proper divisors (78224).

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

65416 is a wasteful number, since it uses less digits than its factorization.

65416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 65416 is about 255.7655176133. The cubic root of 65416 is about 40.2928507289.

The spelling of 65416 in words is "sixty-five thousand, four hundred sixteen".