38523 has 4 divisors (see below), whose sum is σ = 51368. Its totient is φ = 25680.

The previous prime is 38501. The next prime is 38543. The reversal of 38523 is 32583.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 32583 = 3 ⋅10861.

It is not a de Polignac number, because 38523 - 2⁶ = 38459 is a prime.

It is a D-number.

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

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 38523.

It is not an unprimeable number, because it can be changed into a prime (38543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6418 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (12842).

2³⁸⁵²³ is an apocalyptic number.

38523 is a deficient number, since it is larger than the sum of its proper divisors (12845).

38523 is a wasteful number, since it uses less digits than its factorization.

38523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12844.

The product of its digits is 720, while the sum is 21.

The square root of 38523 is about 196.2727693798. The cubic root of 38523 is about 33.7732898232.

It can be divided in two parts, 38 and 523, that added together give a triangular number (561 = T₃₃).

The spelling of 38523 in words is "thirty-eight thousand, five hundred twenty-three".