38712 has 16 divisors (see below), whose sum is σ = 96840. Its totient is φ = 12896.

The previous prime is 38711. The next prime is 38713. The reversal of 38712 is 21783.

38712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38711) and next prime (38713).

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 38712.

It is not an unprimeable number, because it can be changed into a prime (38711) 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, 783 + ... + 830.

2³⁸⁷¹² is an apocalyptic number.

It is an amenable number.

38712 is an abundant number, since it is smaller than the sum of its proper divisors (58128).

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 (48420).

38712 is a wasteful number, since it uses less digits than its factorization.

38712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 38712 is about 196.7536530792. The cubic root of 38712 is about 33.8284321297.

The spelling of 38712 in words is "thirty-eight thousand, seven hundred twelve".