65729 has 2 divisors, whose sum is σ = 65730. Its totient is φ = 65728.

The previous prime is 65719. The next prime is 65731. The reversal of 65729 is 92756.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 4225 = 248^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 65729 - 2⁴ = 65713 is a prime.

Together with 65731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32864 + 32865.

It is an arithmetic number, because the mean of its divisors is an integer number (32865).

2⁶⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

65729 is a deficient number, since it is larger than the sum of its proper divisors (1).

65729 is an equidigital number, since it uses as much as digits as its factorization.

65729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3780, while the sum is 29.

The square root of 65729 is about 256.3766760062. The cubic root of 65729 is about 40.3570124069.

It can be divided in two parts, 657 and 29, that added together give a palindrome (686).

The spelling of 65729 in words is "sixty-five thousand, seven hundred twenty-nine".