65412 has 36 divisors (see below), whose sum is σ = 174720. Its totient is φ = 20592.

The previous prime is 65407. The next prime is 65413. The reversal of 65412 is 21456.

It is a happy number.

65412 is a `hidden beast` number, since 654 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 15.

It is a nialpdrome 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 11 ways as a sum of consecutive naturals, for example, 789 + ... + 867.

2⁶⁵⁴¹² 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 65412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

65412 is an abundant number, since it is smaller than the sum of its proper divisors (109308).

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

65412 is a wasteful number, since it uses less digits than its factorization.

65412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 65412 is about 255.7576978314. The cubic root of 65412 is about 40.2920294482.

Adding to 65412 its reverse (21456), we get a palindrome (86868).

Subtracting from 65412 its reverse (21456), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 654 and 12, that added together give a palindrome (666).

The spelling of 65412 in words is "sixty-five thousand, four hundred twelve".