65541312 has 140 divisors (see below), whose sum is σ = 199156320. Its totient is φ = 21302784.

The previous prime is 65541299. The next prime is 65541349. The reversal of 65541312 is 21314556.

65541312 is a `hidden beast` number, since 655 + 4 + 1 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 243514 + ... + 243782.

Almost surely, 2^65541312 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 65541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

65541312 is an abundant number, since it is smaller than the sum of its proper divisors (133615008).

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

65541312 is a wasteful number, since it uses less digits than its factorization.

65541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 65541312 is about 8095.7588896903. The cubic root of 65541312 is about 403.1856287395.

Adding to 65541312 its reverse (21314556), we get a palindrome (86855868).

The spelling of 65541312 in words is "sixty-five million, five hundred forty-one thousand, three hundred twelve".