65345328 has 60 divisors (see below), whose sum is σ = 184628808. Its totient is φ = 21573120.

The previous prime is 65345317. The next prime is 65345339. The reversal of 65345328 is 82354356.

It is a happy number.

65345328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65345317) and next prime (65345339).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65345292 and 65345301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13288 + ... + 17528.

Almost surely, 2^65345328 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 65345328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92314404).

65345328 is an abundant number, since it is smaller than the sum of its proper divisors (119283480).

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

65345328 is a wasteful number, since it uses less digits than its factorization.

65345328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4353 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 65345328 is about 8083.6457121771. The cubic root of 65345328 is about 402.7833540941.

Subtracting 65345328 from its reverse (82354356), we obtain a triangular number (17009028 = T₅₈₃₂).

The spelling of 65345328 in words is "sixty-five million, three hundred forty-five thousand, three hundred twenty-eight".