65328129 has 24 divisors (see below), whose sum is σ = 99800064. Its totient is φ = 41112000.

The previous prime is 65328121. The next prime is 65328143. The reversal of 65328129 is 92182356.

It is not a de Polignac number, because 65328129 - 2³ = 65328121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65328093 and 65328102.

It is not an unprimeable number, because it can be changed into a prime (65328121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8584 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 2^65328129 is an apocalyptic number.

It is an amenable number.

65328129 is a deficient number, since it is larger than the sum of its proper divisors (34471935).

65328129 is a wasteful number, since it uses less digits than its factorization.

65328129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5786 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 65328129 is about 8082.5818276093. The cubic root of 65328129 is about 402.7480132417.

Adding to 65328129 its sum of digits (36), we get a triangular number (65328165 = T₁₁₄₃₀).

It can be divided in two parts, 653 and 28129, that added together give a palindrome (28782).

The spelling of 65328129 in words is "sixty-five million, three hundred twenty-eight thousand, one hundred twenty-nine".