68729 has 2 divisors, whose sum is σ = 68730. Its totient is φ = 68728.

The previous prime is 68713. The next prime is 68737. The reversal of 68729 is 92786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 7225 = 248^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 68729 - 2⁴ = 68713 is a prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 68695 and 68704.

It is not a weakly prime, because it can be changed into another prime (68749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34364 + 34365.

It is an arithmetic number, because the mean of its divisors is an integer number (34365).

2⁶⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

68729 is a deficient number, since it is larger than the sum of its proper divisors (1).

68729 is an equidigital number, since it uses as much as digits as its factorization.

68729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 32.

The square root of 68729 is about 262.1621635553. The cubic root of 68729 is about 40.9618920152.

It can be divided in two parts, 68 and 729, that added together give a palindrome (797).

The spelling of 68729 in words is "sixty-eight thousand, seven hundred twenty-nine".