38643 has 8 divisors (see below), whose sum is σ = 56256. Its totient is φ = 23400.

The previous prime is 38639. The next prime is 38651. The reversal of 38643 is 34683.

38643 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 38643 - 2² = 38639 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38643.

It is not an unprimeable number, because it can be changed into a prime (38603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (7032).

2³⁸⁶⁴³ is an apocalyptic number.

38643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38643 is a deficient number, since it is larger than the sum of its proper divisors (17613).

38643 is a wasteful number, since it uses less digits than its factorization.

38643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185.

The product of its digits is 1728, while the sum is 24.

The square root of 38643 is about 196.5782287030. The cubic root of 38643 is about 33.8083216558.

It can be divided in two parts, 3 and 8643, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 38643 in words is "thirty-eight thousand, six hundred forty-three".