38562 has 8 divisors (see below), whose sum is σ = 77136. Its totient is φ = 12852.

The previous prime is 38561. The next prime is 38567. The reversal of 38562 is 26583.

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

38562 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38562.

It is not an unprimeable number, because it can be changed into a prime (38561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3208 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (9642).

2³⁸⁵⁶² is an apocalyptic number.

38562 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 (38568).

38562 is a wasteful number, since it uses less digits than its factorization.

38562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432.

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

The square root of 38562 is about 196.3720957774. The cubic root of 38562 is about 33.7846831386.

The spelling of 38562 in words is "thirty-eight thousand, five hundred sixty-two".