38743 has 8 divisors (see below), whose sum is σ = 42768. Its totient is φ = 34944.

The previous prime is 38737. The next prime is 38747. The reversal of 38743 is 34783.

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

It is a cyclic number.

It is not a de Polignac number, because 38743 - 2⁵ = 38711 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38747) 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, 705 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (5346).

2³⁸⁷⁴³ is an apocalyptic number.

38743 is a deficient number, since it is larger than the sum of its proper divisors (4025).

38743 is a wasteful number, since it uses less digits than its factorization.

38743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 2016, while the sum is 25.

The square root of 38743 is about 196.8324160295. The cubic root of 38743 is about 33.8374594907.

It can be divided in two parts, 387 and 43, that multiplied together give a square (16641 = 129²).

The spelling of 38743 in words is "thirty-eight thousand, seven hundred forty-three".