64729 has 6 divisors (see below), whose sum is σ = 75354. Its totient is φ = 55440.

The previous prime is 64717. The next prime is 64747. The reversal of 64729 is 92746.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 1225 = 252^2 + 35^2 .

It is not a de Polignac number, because 64729 - 2⁷ = 64601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64697 and 64706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64709) 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 5 ways as a sum of consecutive naturals, for example, 612 + ... + 709.

It is an arithmetic number, because the mean of its divisors is an integer number (12559).

2⁶⁴⁷²⁹ is an apocalyptic number.

It is an amenable number.

64729 is a deficient number, since it is larger than the sum of its proper divisors (10625).

64729 is a wasteful number, since it uses less digits than its factorization.

64729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 64729 is about 254.4189458354. The cubic root of 64729 is about 40.1513019712.

It can be divided in two parts, 647 and 29, that added together give a palindrome (676).

The spelling of 64729 in words is "sixty-four thousand, seven hundred twenty-nine".