65424 has 40 divisors (see below), whose sum is σ = 178560. Its totient is φ = 20608.

The previous prime is 65423. The next prime is 65437. The reversal of 65424 is 42456.

Added to its reverse (42456) it gives a triangular number (107880 = T₄₆₄).

It is a happy number.

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 65424.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65424.

It is not an unprimeable number, because it can be changed into a prime (65423) 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, 1369 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁶⁵⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

65424 is an abundant number, since it is smaller than the sum of its proper divisors (113136).

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

65424 is a wasteful number, since it uses less digits than its factorization.

65424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 65424 is about 255.7811564600. The cubic root of 65424 is about 40.2944931898.

Adding to 65424 its reverse (42456), we get a triangular number (107880 = T₄₆₄).

The spelling of 65424 in words is "sixty-five thousand, four hundred twenty-four".