65832 has 32 divisors (see below), whose sum is σ = 178080. Its totient is φ = 20160.

The previous prime is 65831. The next prime is 65837. The reversal of 65832 is 23856.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (65831) 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, 207 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (5565).

2⁶⁵⁸³² 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 65832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89040).

65832 is an abundant number, since it is smaller than the sum of its proper divisors (112248).

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

65832 is a wasteful number, since it uses less digits than its factorization.

65832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 65832 is about 256.5774736800. The cubic root of 65832 is about 40.3780817618.

Adding to 65832 its sum of digits (24), we get a palindrome (65856).

The spelling of 65832 in words is "sixty-five thousand, eight hundred thirty-two".