10729 has 2 divisors, whose sum is σ = 10730. Its totient is φ = 10728.

The previous prime is 10723. The next prime is 10733. The reversal of 10729 is 92701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 729 = 100^2 + 27^2 .

It is a cyclic number.

It is not a de Polignac number, because 10729 - 2⁷ = 10601 is a prime.

It is a super-2 number, since 2×10729² = 230222882, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (10723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5364 + 5365.

It is an arithmetic number, because the mean of its divisors is an integer number (5365).

2¹⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

10729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10729 is an equidigital number, since it uses as much as digits as its factorization.

10729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10729 is about 103.5808862677. The cubic root of 10729 is about 22.0556442651.

It can be divided in two parts, 1072 and 9, that added together give a triangular number (1081 = T₄₆).

The spelling of 10729 in words is "ten thousand, seven hundred twenty-nine".