38729 has 2 divisors, whose sum is σ = 38730. Its totient is φ = 38728.

The previous prime is 38723. The next prime is 38737. The reversal of 38729 is 92783.

38729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 15625 = 152^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 38729 - 2⁴ = 38713 is a prime.

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 (38723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19364 + 19365.

It is an arithmetic number, because the mean of its divisors is an integer number (19365).

2³⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

38729 is a deficient number, since it is larger than the sum of its proper divisors (1).

38729 is an equidigital number, since it uses as much as digits as its factorization.

38729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 29.

The square root of 38729 is about 196.7968495683. The cubic root of 38729 is about 33.8333832145.

It can be divided in two parts, 38 and 729, that added together give a palindrome (767).

The spelling of 38729 in words is "thirty-eight thousand, seven hundred twenty-nine".