65024 has 20 divisors (see below), whose sum is σ = 130944. Its totient is φ = 32256.

The previous prime is 65011. The next prime is 65027. The reversal of 65024 is 42056.

It is a Cunningham number, because it is equal to 255²-1.

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 64993 and 65011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 449 + ... + 575.

2⁶⁵⁰²⁴ is an apocalyptic number.

65024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472).

65024 is an abundant number, since it is smaller than the sum of its proper divisors (65920).

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

65024 is an equidigital number, since it uses as much as digits as its factorization.

65024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 65024 is about 254.9980392081. The cubic root of 65024 is about 40.2122055625.

The spelling of 65024 in words is "sixty-five thousand, twenty-four".