38535 has 16 divisors (see below), whose sum is σ = 70656. Its totient is φ = 17568.

The previous prime is 38501. The next prime is 38543. The reversal of 38535 is 53583.

38535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38535 - 2¹⁰ = 37511 is a prime.

38535 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38535.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (4416).

2³⁸⁵³⁵ is an apocalyptic number.

38535 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38535 is a deficient number, since it is larger than the sum of its proper divisors (32121).

38535 is a wasteful number, since it uses less digits than its factorization.

38535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382.

The product of its digits is 1800, while the sum is 24.

The square root of 38535 is about 196.3033367011. The cubic root of 38535 is about 33.7767962774.

The spelling of 38535 in words is "thirty-eight thousand, five hundred thirty-five".