65529 has 10 divisors (see below), whose sum is σ = 98010. Its totient is φ = 43632.

The previous prime is 65521. The next prime is 65537. The reversal of 65529 is 92556.

65529 is a `hidden beast` number, since 655 + 2 + 9 = 666.

65529 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (65521) and next prime (65537).

It can be written as a sum of positive squares in only one way, i.e., 63504 + 2025 = 252^2 + 45^2 .

It is not a de Polignac number, because 65529 - 2³ = 65521 is a prime.

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

It is a Curzon number.

65529 is a lucky number.

It is a nialpdrome in base 4 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65529.

It is not an unprimeable number, because it can be changed into a prime (65521) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 324 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (9801).

2⁶⁵⁵²⁹ is an apocalyptic number.

It is an amenable number.

65529 is a deficient number, since it is larger than the sum of its proper divisors (32481).

65529 is an equidigital number, since it uses as much as digits as its factorization.

65529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 65529 is about 255.9863277599. The cubic root of 65529 is about 40.3160380886.

Adding to 65529 its sum of digits (27), we get a palindrome (65556).

It can be divided in two parts, 6552 and 9, that added together give a 8-th power (6561 = 3⁸).

The spelling of 65529 in words is "sixty-five thousand, five hundred twenty-nine".