65741129 has 2 divisors, whose sum is σ = 65741130. Its totient is φ = 65741128.

The previous prime is 65741087. The next prime is 65741131. The reversal of 65741129 is 92114756.

65741129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45697600 + 20043529 = 6760^2 + 4477^2 .

It is a cyclic number.

It is not a de Polignac number, because 65741129 - 2¹⁶ = 65675593 is a prime.

Together with 65741131, 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 (65741149) by changing a digit.

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 as a sum of consecutive naturals, namely, 32870564 + 32870565.

It is an arithmetic number, because the mean of its divisors is an integer number (32870565).

Almost surely, 2^65741129 is an apocalyptic number.

It is an amenable number.

65741129 is a deficient number, since it is larger than the sum of its proper divisors (1).

65741129 is an equidigital number, since it uses as much as digits as its factorization.

65741129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 35.

The square root of 65741129 is about 8108.0903423679. The cubic root of 65741129 is about 403.5949461967.

The spelling of 65741129 in words is "sixty-five million, seven hundred forty-one thousand, one hundred twenty-nine".