38753 has 8 divisors (see below), whose sum is σ = 45696. Its totient is φ = 32400.

The previous prime is 38749. The next prime is 38767. The reversal of 38753 is 35783.

38753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 38753 - 2² = 38749 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38753.

It is not an unprimeable number, because it can be changed into a prime (38713) 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, 8 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

2³⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

38753 is a deficient number, since it is larger than the sum of its proper divisors (6943).

38753 is a wasteful number, since it uses less digits than its factorization.

38753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295.

The product of its digits is 2520, while the sum is 26.

The square root of 38753 is about 196.8578167104. The cubic root of 38753 is about 33.8403705153.

The spelling of 38753 in words is "thirty-eight thousand, seven hundred fifty-three".