61729 has 2 divisors, whose sum is σ = 61730. Its totient is φ = 61728.

The previous prime is 61723. The next prime is 61751. The reversal of 61729 is 92716.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 225 = 248^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 61729 - 2¹⁵ = 28961 is a prime.

It is not a weakly prime, because it can be changed into another prime (61723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30864 + 30865.

It is an arithmetic number, because the mean of its divisors is an integer number (30865).

2⁶¹⁷²⁹ is an apocalyptic number.

It is an amenable number.

61729 is a deficient number, since it is larger than the sum of its proper divisors (1).

61729 is an equidigital number, since it uses as much as digits as its factorization.

61729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 25.

The square root of 61729 is about 248.4532149118. The cubic root of 61729 is about 39.5211658182.

It can be divided in two parts, 617 and 29, that added together give a palindrome (646).

The spelling of 61729 in words is "sixty-one thousand, seven hundred twenty-nine".