38526 has 8 divisors (see below), whose sum is σ = 77064. Its totient is φ = 12840.

The previous prime is 38501. The next prime is 38543. The reversal of 38526 is 62583.

It is a sphenic number, since it is the product of 3 distinct primes.

38526 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 38496 and 38505.

It is a congruent number.

It is an unprimeable number.

38526 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3205 + ... + 3216.

It is an arithmetic number, because the mean of its divisors is an integer number (9633).

2³⁸⁵²⁶ is an apocalyptic number.

38526 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38532).

38526 is a wasteful number, since it uses less digits than its factorization.

38526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426.

The product of its digits is 1440, while the sum is 24.

The square root of 38526 is about 196.2804116564. The cubic root of 38526 is about 33.7741665050.

The spelling of 38526 in words is "thirty-eight thousand, five hundred twenty-six".