65032 has 16 divisors (see below), whose sum is σ = 133200. Its totient is φ = 29520.

The previous prime is 65029. The next prime is 65033. The reversal of 65032 is 23056.

65032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65032² = 8458322048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64997 and 65015.

It is not an unprimeable number, because it can be changed into a prime (65033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (8325).

2⁶⁵⁰³² is an apocalyptic number.

It is an amenable number.

65032 is an abundant number, since it is smaller than the sum of its proper divisors (68168).

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 (66600).

65032 is a wasteful number, since it uses less digits than its factorization.

65032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 65032 is about 255.0137251208. The cubic root of 65032 is about 40.2138546175.

Adding to 65032 its reverse (23056), we get a palindrome (88088).

The spelling of 65032 in words is "sixty-five thousand, thirty-two".