38529 has 8 divisors (see below), whose sum is σ = 57120. Its totient is φ = 25668.

The previous prime is 38501. The next prime is 38543. The reversal of 38529 is 92583.

It is not a de Polignac number, because 38529 - 2⁸ = 38273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1427 = 38529 / (3 + 8 + 5 + 2 + 9).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38529.

It is not an unprimeable number, because it can be changed into a prime (38569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2³⁸⁵²⁹ is an apocalyptic number.

It is an amenable number.

38529 is a deficient number, since it is larger than the sum of its proper divisors (18591).

38529 is a wasteful number, since it uses less digits than its factorization.

38529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 38529 is about 196.2880536355. The cubic root of 38529 is about 33.7750431413.

It can be divided in two parts, 385 and 29, that added together give a palindrome (414).

The spelling of 38529 in words is "thirty-eight thousand, five hundred twenty-nine".